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Finding the Third Proportional to 171,193.50 and 266,115.38

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Solution

The third proportional to 171,193.50 and 266,115.38 is: 413,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,193.50 : 266,115.38 = 266,115.38 : x
  2. Step 2: Convert to fraction form
    171,193.50/266,115.38 = 266,115.38/x
  3. Step 3: Cross multiply
    171,193.50x = 266,115.38 × 266,115.38
  4. Step 4: Simplify right side
    171,193.50x = 70,817,392,811.39
  5. Step 5: Solve for x
    x = 70,817,392,811.39/171,193.50
  6. Step 6: Final answer
    x = 413,668.70

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