A, B, and C are three positive integers in arithmetic sequence with A < B < C.

Do there exist three distinct positive integers P, Q, and R that satisfy this system of equations:

• A+B*C = P^2
• B+C*A = Q^2
• C+A*B = R^2?

Provide valid reasoning for your answer.

(In reply to No Subject by K Sengupta)

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