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Finding the Third Proportional to 118,847 and 261,022

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Solution

The third proportional to 118,847 and 261,022 is: 573,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,847 : 261,022 = 261,022 : x
  2. Step 2: Convert to fraction form
    118,847/261,022 = 261,022/x
  3. Step 3: Cross multiply
    118,847x = 261,022 × 261,022
  4. Step 4: Simplify right side
    118,847x = 68,132,484,484
  5. Step 5: Solve for x
    x = 68,132,484,484/118,847
  6. Step 6: Final answer
    x = 573,278.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.