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Finding the Third Proportional to 181,241 and 266,515

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Solution

The third proportional to 181,241 and 266,515 is: 391,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,241 : 266,515 = 266,515 : x
  2. Step 2: Convert to fraction form
    181,241/266,515 = 266,515/x
  3. Step 3: Cross multiply
    181,241x = 266,515 × 266,515
  4. Step 4: Simplify right side
    181,241x = 71,030,245,225
  5. Step 5: Solve for x
    x = 71,030,245,225/181,241
  6. Step 6: Final answer
    x = 391,910.47

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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.