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Finding the Third Proportional to 168,805.13 and 267,301.88

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Solution

The third proportional to 168,805.13 and 267,301.88 is: 423,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,805.13 : 267,301.88 = 267,301.88 : x
  2. Step 2: Convert to fraction form
    168,805.13/267,301.88 = 267,301.88/x
  3. Step 3: Cross multiply
    168,805.13x = 267,301.88 × 267,301.88
  4. Step 4: Simplify right side
    168,805.13x = 71,450,292,378.52
  5. Step 5: Solve for x
    x = 71,450,292,378.52/168,805.13
  6. Step 6: Final answer
    x = 423,270.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.