# Race against time!

Algebra Level 4

Suppose $$a,b,c$$ are real numbers that are in an arithmetic progression (in that order) such that $$a>b>c$$.

And $${a}^{2}$$, $${b}^{2}$$ and $${c}^{2}$$ are in a geometric progression (in that order) .

If $$a+b+c=\frac { 3 }{ 2 }$$, what is the value of $$a$$?

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