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Finding the Third Proportional to 85,241 and 179,469

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Solution

The third proportional to 85,241 and 179,469 is: 377,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,241 : 179,469 = 179,469 : x
  2. Step 2: Convert to fraction form
    85,241/179,469 = 179,469/x
  3. Step 3: Cross multiply
    85,241x = 179,469 × 179,469
  4. Step 4: Simplify right side
    85,241x = 32,209,121,961
  5. Step 5: Solve for x
    x = 32,209,121,961/85,241
  6. Step 6: Final answer
    x = 377,859.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.