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Finding the Third Proportional to 186,699 and 296,842.50

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Solution

The third proportional to 186,699 and 296,842.50 is: 471,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,699 : 296,842.50 = 296,842.50 : x
  2. Step 2: Convert to fraction form
    186,699/296,842.50 = 296,842.50/x
  3. Step 3: Cross multiply
    186,699x = 296,842.50 × 296,842.50
  4. Step 4: Simplify right side
    186,699x = 88,115,469,806.25
  5. Step 5: Solve for x
    x = 88,115,469,806.25/186,699
  6. Step 6: Final answer
    x = 471,965.41

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.