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ABCABCABC is a triangle with AB=360AB=360AB=360, BC=240BC=240BC=240, CA=180CA=180CA=180. The internal and external angle bisectors of ∠CAB\angle CAB∠CAB meet BCBCBC and BCBCBC produced at PPP and QQQ respectively. Find the circumradius of APQ.APQ.APQ.
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