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Finding the Third Proportional to 198,584.16 and 437,251.92

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Solution

The third proportional to 198,584.16 and 437,251.92 is: 962,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,584.16 : 437,251.92 = 437,251.92 : x
  2. Step 2: Convert to fraction form
    198,584.16/437,251.92 = 437,251.92/x
  3. Step 3: Cross multiply
    198,584.16x = 437,251.92 × 437,251.92
  4. Step 4: Simplify right side
    198,584.16x = 191,189,243,183.38
  5. Step 5: Solve for x
    x = 191,189,243,183.38/198,584.16
  6. Step 6: Final answer
    x = 962,761.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.