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Finding the Third Proportional to 172,793.25 and 266,965.88

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Solution

The third proportional to 172,793.25 and 266,965.88 is: 412,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,793.25 : 266,965.88 = 266,965.88 : x
  2. Step 2: Convert to fraction form
    172,793.25/266,965.88 = 266,965.88/x
  3. Step 3: Cross multiply
    172,793.25x = 266,965.88 × 266,965.88
  4. Step 4: Simplify right side
    172,793.25x = 71,270,778,414.52
  5. Step 5: Solve for x
    x = 71,270,778,414.52/172,793.25
  6. Step 6: Final answer
    x = 412,462.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.