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Finding the Third Proportional to 132,035 and 198,686

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Solution

The third proportional to 132,035 and 198,686 is: 298,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,035 : 198,686 = 198,686 : x
  2. Step 2: Convert to fraction form
    132,035/198,686 = 198,686/x
  3. Step 3: Cross multiply
    132,035x = 198,686 × 198,686
  4. Step 4: Simplify right side
    132,035x = 39,476,126,596
  5. Step 5: Solve for x
    x = 39,476,126,596/132,035
  6. Step 6: Final answer
    x = 298,982.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.