What is the average of all positive integers that have three digits when written in base $5$, but two digits when written in base $8$? Write your answer in base $10$.
Question:
What is the average of all positive integers that have three digits when written in base $5$, but two digits when written in base $8$? Write your answer in base $10$.
Answer:
Let's think step by step.

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What is the average of all positive integers that have three digits when written in base $5$, but two digits when written in base $8$? Write your answer in base $10$.
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