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Finding the Third Proportional to 84,165 and 181,449

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Solution

The third proportional to 84,165 and 181,449 is: 391,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,165 : 181,449 = 181,449 : x
  2. Step 2: Convert to fraction form
    84,165/181,449 = 181,449/x
  3. Step 3: Cross multiply
    84,165x = 181,449 × 181,449
  4. Step 4: Simplify right side
    84,165x = 32,923,739,601
  5. Step 5: Solve for x
    x = 32,923,739,601/84,165
  6. Step 6: Final answer
    x = 391,180.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.