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Finding the Third Proportional to 135,744 and 298,257

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Solution

The third proportional to 135,744 and 298,257 is: 655,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,744 : 298,257 = 298,257 : x
  2. Step 2: Convert to fraction form
    135,744/298,257 = 298,257/x
  3. Step 3: Cross multiply
    135,744x = 298,257 × 298,257
  4. Step 4: Simplify right side
    135,744x = 88,957,238,049
  5. Step 5: Solve for x
    x = 88,957,238,049/135,744
  6. Step 6: Final answer
    x = 655,330.90

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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.