Find the quotient when the mean proportional of 7 1/5 and 245 is divided by an even prime number.

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Accepted Answer

Step 1: Convert 7 1/5 to an improper fraction.
7 1/5 = 7 + 1/5 = (35/5) + (1/5) = 36/5

Step 2: Let the mean proportional be x, then:
x^2 = (36/5) * 245

Step 3: Calculate the product:
(36/5) * 245 = 36 * 49 = 1764

Step 4: Find x:
x = sqrt(1764) = 42

Step 5: The even prime number is 2.

Step 6: Divide the mean proportional by 2:
42 / 2 = 21

Therefore, the quotient is 21.

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