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Finding the Third Proportional to 204,211.13 and 306,214.17

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Solution

The third proportional to 204,211.13 and 306,214.17 is: 459,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,211.13 : 306,214.17 = 306,214.17 : x
  2. Step 2: Convert to fraction form
    204,211.13/306,214.17 = 306,214.17/x
  3. Step 3: Cross multiply
    204,211.13x = 306,214.17 × 306,214.17
  4. Step 4: Simplify right side
    204,211.13x = 93,767,119,057.09
  5. Step 5: Solve for x
    x = 93,767,119,057.09/204,211.13
  6. Step 6: Final answer
    x = 459,167.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.