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Finding the Third Proportional to 132,486 and 198,225

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Solution

The third proportional to 132,486 and 198,225 is: 296,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,486 : 198,225 = 198,225 : x
  2. Step 2: Convert to fraction form
    132,486/198,225 = 198,225/x
  3. Step 3: Cross multiply
    132,486x = 198,225 × 198,225
  4. Step 4: Simplify right side
    132,486x = 39,293,150,625
  5. Step 5: Solve for x
    x = 39,293,150,625/132,486
  6. Step 6: Final answer
    x = 296,583.42

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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.