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Finding the Third Proportional to 146,882.39 and 198,179.30

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Solution

The third proportional to 146,882.39 and 198,179.30 is: 267,391.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,882.39 : 198,179.30 = 198,179.30 : x
  2. Step 2: Convert to fraction form
    146,882.39/198,179.30 = 198,179.30/x
  3. Step 3: Cross multiply
    146,882.39x = 198,179.30 × 198,179.30
  4. Step 4: Simplify right side
    146,882.39x = 39,275,033,709.87
  5. Step 5: Solve for x
    x = 39,275,033,709.87/146,882.39
  6. Step 6: Final answer
    x = 267,391.03

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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.