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Finding the Third Proportional to 132,114 and 198,198

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Solution

The third proportional to 132,114 and 198,198 is: 297,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,114 : 198,198 = 198,198 : x
  2. Step 2: Convert to fraction form
    132,114/198,198 = 198,198/x
  3. Step 3: Cross multiply
    132,114x = 198,198 × 198,198
  4. Step 4: Simplify right side
    132,114x = 39,282,447,204
  5. Step 5: Solve for x
    x = 39,282,447,204/132,114
  6. Step 6: Final answer
    x = 297,337.51

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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.