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Finding the Third Proportional to 146,880.38 and 198,175.88

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Solution

The third proportional to 146,880.38 and 198,175.88 is: 267,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,880.38 : 198,175.88 = 198,175.88 : x
  2. Step 2: Convert to fraction form
    146,880.38/198,175.88 = 198,175.88/x
  3. Step 3: Cross multiply
    146,880.38x = 198,175.88 × 198,175.88
  4. Step 4: Simplify right side
    146,880.38x = 39,273,677,432.02
  5. Step 5: Solve for x
    x = 39,273,677,432.02/146,880.38
  6. Step 6: Final answer
    x = 267,385.47

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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.