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Finding the Third Proportional to 179,469 and 261,414

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Solution

The third proportional to 179,469 and 261,414 is: 380,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,469 : 261,414 = 261,414 : x
  2. Step 2: Convert to fraction form
    179,469/261,414 = 261,414/x
  3. Step 3: Cross multiply
    179,469x = 261,414 × 261,414
  4. Step 4: Simplify right side
    179,469x = 68,337,279,396
  5. Step 5: Solve for x
    x = 68,337,279,396/179,469
  6. Step 6: Final answer
    x = 380,774.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.