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Finding the Third Proportional to 135,830 and 296,902

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Solution

The third proportional to 135,830 and 296,902 is: 648,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,830 : 296,902 = 296,902 : x
  2. Step 2: Convert to fraction form
    135,830/296,902 = 296,902/x
  3. Step 3: Cross multiply
    135,830x = 296,902 × 296,902
  4. Step 4: Simplify right side
    135,830x = 88,150,797,604
  5. Step 5: Solve for x
    x = 88,150,797,604/135,830
  6. Step 6: Final answer
    x = 648,978.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.