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Finding the Third Proportional to 172,695.38 and 266,425.88

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Solution

The third proportional to 172,695.38 and 266,425.88 is: 411,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,695.38 : 266,425.88 = 266,425.88 : x
  2. Step 2: Convert to fraction form
    172,695.38/266,425.88 = 266,425.88/x
  3. Step 3: Cross multiply
    172,695.38x = 266,425.88 × 266,425.88
  4. Step 4: Simplify right side
    172,695.38x = 70,982,746,869.52
  5. Step 5: Solve for x
    x = 70,982,746,869.52/172,695.38
  6. Step 6: Final answer
    x = 411,028.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.