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Finding the Third Proportional to 206,904.38 and 316,370.81

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Solution

The third proportional to 206,904.38 and 316,370.81 is: 483,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,904.38 : 316,370.81 = 316,370.81 : x
  2. Step 2: Convert to fraction form
    206,904.38/316,370.81 = 316,370.81/x
  3. Step 3: Cross multiply
    206,904.38x = 316,370.81 × 316,370.81
  4. Step 4: Simplify right side
    206,904.38x = 100,090,491,001.91
  5. Step 5: Solve for x
    x = 100,090,491,001.91/206,904.38
  6. Step 6: Final answer
    x = 483,752.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.