a,b and c real numbers

Algebra Level pending

{a(b+c)=152b(a+c)=162c(a+b)=170\begin{cases} a( b+c)=152 \\ b(a+c)= 162 \\ c(a+b)=170 \end{cases}

If aa, bb, and cc are positive real numbers satisfying the system of equations, find abcabc.

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