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Finding the Third Proportional to 219,385.13 and 337,057.88

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Solution

The third proportional to 219,385.13 and 337,057.88 is: 517,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,385.13 : 337,057.88 = 337,057.88 : x
  2. Step 2: Convert to fraction form
    219,385.13/337,057.88 = 337,057.88/x
  3. Step 3: Cross multiply
    219,385.13x = 337,057.88 × 337,057.88
  4. Step 4: Simplify right side
    219,385.13x = 113,608,011,099.52
  5. Step 5: Solve for x
    x = 113,608,011,099.52/219,385.13
  6. Step 6: Final answer
    x = 517,847.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.