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Finding the Third Proportional to 168,793.88 and 398,449.13

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Solution

The third proportional to 168,793.88 and 398,449.13 is: 940,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,793.88 : 398,449.13 = 398,449.13 : x
  2. Step 2: Convert to fraction form
    168,793.88/398,449.13 = 398,449.13/x
  3. Step 3: Cross multiply
    168,793.88x = 398,449.13 × 398,449.13
  4. Step 4: Simplify right side
    168,793.88x = 158,761,705,213.27
  5. Step 5: Solve for x
    x = 158,761,705,213.27/168,793.88
  6. Step 6: Final answer
    x = 940,565.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.