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Finding the Third Proportional to 224,163 and 469,098

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Solution

The third proportional to 224,163 and 469,098 is: 981,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,163 : 469,098 = 469,098 : x
  2. Step 2: Convert to fraction form
    224,163/469,098 = 469,098/x
  3. Step 3: Cross multiply
    224,163x = 469,098 × 469,098
  4. Step 4: Simplify right side
    224,163x = 220,052,933,604
  5. Step 5: Solve for x
    x = 220,052,933,604/224,163
  6. Step 6: Final answer
    x = 981,664.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.