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Yes and no.

The current average orbital distance between the Earth and the Moon is 384,400 kilometers (= 238,855.0863 miles).

However, the Moons orbit is not a circle round the Earth it is an ellipse. This takes it further away (and nearer) to the Earth at times. The furthest away is "Apogee" = 405 410 kilometers = (251,910.09504 miles), while the nearest to is "Perigee" = 362,570 kilometers = (225,290.55317 miles).

Thus "yes" there are times when the Moon is 250,000 miles from Earth.

Also note that each year the distance between the Earth and the Moon is increasing (at about the rate that your fingernails grow) by 3.82±0.07cm per year. This is caused by the tidal interaction between the Earth and the Moon and means that in the far past the Moon was much much closer to the Earth.

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Q: Was the Moon ever around 250000 miles from the Earth?
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