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Finding the Third Proportional to 146,883.75 and 198,181.13

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Solution

The third proportional to 146,883.75 and 198,181.13 is: 267,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,883.75 : 198,181.13 = 198,181.13 : x
  2. Step 2: Convert to fraction form
    146,883.75/198,181.13 = 198,181.13/x
  3. Step 3: Cross multiply
    146,883.75x = 198,181.13 × 198,181.13
  4. Step 4: Simplify right side
    146,883.75x = 39,275,758,306.27
  5. Step 5: Solve for x
    x = 39,275,758,306.27/146,883.75
  6. Step 6: Final answer
    x = 267,393.49

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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.