There's no difference. The page rank is a algorithm created by google. If you check your PR in site like http://www.pageranke.com, you can learn your therorical PR. But keep in mind that this a theorical PR because the real PR is only known by Google. But you have other kinds of ranking, like "Alexa rank" or "compete rank"...
Page Rank assigned to blog by Google according to its page ranking system is called Blog Page Rank. You can know it through Google toolbar.
google toolbar
Google Page Rank is an output of google's algorithm for site ranking. The basic thing is that the site with higher Page Rank will be listed before the site with lower Page Rank, in google's search result. If you didnt got it, here's a detailed article by a blogger:
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organic way
???
Google.
No! Absolutely no!
PageRank (PR) is an algorithm used by Google Search to rank websites in their search engine results. PageRank was named after Larry Page, one of the founders of Google. tizag.com/SEOTutorial/seo-pagerank.php
The numbers in Page Rank (PR) tells that how much higher the page rank is. The higher the number, the higher the page rank is. If you still didnt got it, check out this detailed article: http://webprokevin.blogspot.com/2011/07/what-is-pr.html
With Organic SEO Techniques you can rank higher on the google search engine. Make sure your site have relevant content and user friendly website