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Finding the Third Proportional to 135,766 and 298,298

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Solution

The third proportional to 135,766 and 298,298 is: 655,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,766 : 298,298 = 298,298 : x
  2. Step 2: Convert to fraction form
    135,766/298,298 = 298,298/x
  3. Step 3: Cross multiply
    135,766x = 298,298 × 298,298
  4. Step 4: Simplify right side
    135,766x = 88,981,696,804
  5. Step 5: Solve for x
    x = 88,981,696,804/135,766
  6. Step 6: Final answer
    x = 655,404.86

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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.