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Finding the Third Proportional to 181,134 and 266,166

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Solution

The third proportional to 181,134 and 266,166 is: 391,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,134 : 266,166 = 266,166 : x
  2. Step 2: Convert to fraction form
    181,134/266,166 = 266,166/x
  3. Step 3: Cross multiply
    181,134x = 266,166 × 266,166
  4. Step 4: Simplify right side
    181,134x = 70,844,339,556
  5. Step 5: Solve for x
    x = 70,844,339,556/181,134
  6. Step 6: Final answer
    x = 391,115.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.