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Finding the Third Proportional to 132,115.50 and 198,213.75

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Solution

The third proportional to 132,115.50 and 198,213.75 is: 297,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,115.50 : 198,213.75 = 198,213.75 : x
  2. Step 2: Convert to fraction form
    132,115.50/198,213.75 = 198,213.75/x
  3. Step 3: Cross multiply
    132,115.50x = 198,213.75 × 198,213.75
  4. Step 4: Simplify right side
    132,115.50x = 39,288,690,689.06
  5. Step 5: Solve for x
    x = 39,288,690,689.06/132,115.50
  6. Step 6: Final answer
    x = 297,381.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.