Palmyra atoll
Austin, a community of about 200 people, is nearest the center of Nevada.
Jerusalem is not the center but it is in the neighborhood. Ankara, Turkey is the nearest city to the geographic center of the world. This is according to Henry Morris, PhD, of the Institute for Creation Research. You can read the article at their website.
Fiumencino - airport code FCO, i believe to be the closest/ most widely used
I am unable to determine where the closest Arc's Centre would be to your location because you did not include that into your original question. I would recommend checking their website to determine where their closest location would be to you.
The geographic center of America can be found in the state of North Dakota. The city that is said to be the geographic center is Rugby which was founded in 1886.
The point closest to the Earth's center (-6,353 km (3,948mi) is probably at the bottom of the Arctic Ocean (greatest depth 5,450 m (17,881 ft) near the Geographic North Pole (the bottom of the Mariana Trench is 6,366.4 km (3,956mi) from the center of the Earth), sometimes called Polar Deep.
A closest metropolitan area refers to the urban region that is nearest to a specific location. It typically includes a large city and its surrounding suburbs and towns. This term is used to provide a general idea of the nearest major urban center to a particular place.
Although the geographic center of the magic kingdom lies in the compass outside of Cinderella Castle, if you were to look at the makeup of the park, the midpoint inside the castle would be the geographic center. Seems the compass is the more accurate representation of the geographic center of the park.
There are several websites that give information about CNC turning centers. A search engine can also be used to find the nearest CNC turning center.
The closest anxiety treatment center to Dallas is Dallas Counseling Services. Ware Awareness Group is also close to Dallas and can treat anxiety.
The closest cancer research in Chicago would be the The Cancer Treatment Center in Zion Illinois. Cancer Center of America Midwestern Regional Medical Center 2520 Elisha Ave Zion Illinois
There is the Pacific Rim Treatment Center which is located in Dayton Ohio area. They have several other centers in the area and they offer housing for various impatients.