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Finding the Third Proportional to 206,614.13 and 302,847.19

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Solution

The third proportional to 206,614.13 and 302,847.19 is: 443,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,614.13 : 302,847.19 = 302,847.19 : x
  2. Step 2: Convert to fraction form
    206,614.13/302,847.19 = 302,847.19/x
  3. Step 3: Cross multiply
    206,614.13x = 302,847.19 × 302,847.19
  4. Step 4: Simplify right side
    206,614.13x = 91,716,418,976.66
  5. Step 5: Solve for x
    x = 91,716,418,976.66/206,614.13
  6. Step 6: Final answer
    x = 443,901.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.