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Finding the Third Proportional to 146,877.75 and 198,172.88

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Solution

The third proportional to 146,877.75 and 198,172.88 is: 267,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,877.75 : 198,172.88 = 198,172.88 : x
  2. Step 2: Convert to fraction form
    146,877.75/198,172.88 = 198,172.88/x
  3. Step 3: Cross multiply
    146,877.75x = 198,172.88 × 198,172.88
  4. Step 4: Simplify right side
    146,877.75x = 39,272,488,385.77
  5. Step 5: Solve for x
    x = 39,272,488,385.77/146,877.75
  6. Step 6: Final answer
    x = 267,382.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.