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Finding the Third Proportional to 171,187.69 and 266,125.88

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Solution

The third proportional to 171,187.69 and 266,125.88 is: 413,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,187.69 : 266,125.88 = 266,125.88 : x
  2. Step 2: Convert to fraction form
    171,187.69/266,125.88 = 266,125.88/x
  3. Step 3: Cross multiply
    171,187.69x = 266,125.88 × 266,125.88
  4. Step 4: Simplify right side
    171,187.69x = 70,822,981,344.52
  5. Step 5: Solve for x
    x = 70,822,981,344.52/171,187.69
  6. Step 6: Final answer
    x = 413,715.39

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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.