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Finding the Third Proportional to 239,488.13 and 399,129.75

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Solution

The third proportional to 239,488.13 and 399,129.75 is: 665,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,488.13 : 399,129.75 = 399,129.75 : x
  2. Step 2: Convert to fraction form
    239,488.13/399,129.75 = 399,129.75/x
  3. Step 3: Cross multiply
    239,488.13x = 399,129.75 × 399,129.75
  4. Step 4: Simplify right side
    239,488.13x = 159,304,557,335.06
  5. Step 5: Solve for x
    x = 159,304,557,335.06/239,488.13
  6. Step 6: Final answer
    x = 665,187.71

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.