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Finding the Third Proportional to 267,901.38 and 408,132.75

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Solution

The third proportional to 267,901.38 and 408,132.75 is: 621,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,901.38 : 408,132.75 = 408,132.75 : x
  2. Step 2: Convert to fraction form
    267,901.38/408,132.75 = 408,132.75/x
  3. Step 3: Cross multiply
    267,901.38x = 408,132.75 × 408,132.75
  4. Step 4: Simplify right side
    267,901.38x = 166,572,341,622.56
  5. Step 5: Solve for x
    x = 166,572,341,622.56/267,901.38
  6. Step 6: Final answer
    x = 621,767.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.