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Finding the Third Proportional to 126,867.38 and 300,553.31

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Solution

The third proportional to 126,867.38 and 300,553.31 is: 712,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,867.38 : 300,553.31 = 300,553.31 : x
  2. Step 2: Convert to fraction form
    126,867.38/300,553.31 = 300,553.31/x
  3. Step 3: Cross multiply
    126,867.38x = 300,553.31 × 300,553.31
  4. Step 4: Simplify right side
    126,867.38x = 90,332,293,654.72
  5. Step 5: Solve for x
    x = 90,332,293,654.72/126,867.38
  6. Step 6: Final answer
    x = 712,021.46

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.