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Finding the Third Proportional to 132,206 and 198,601

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Solution

The third proportional to 132,206 and 198,601 is: 298,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,206 : 198,601 = 198,601 : x
  2. Step 2: Convert to fraction form
    132,206/198,601 = 198,601/x
  3. Step 3: Cross multiply
    132,206x = 198,601 × 198,601
  4. Step 4: Simplify right side
    132,206x = 39,442,357,201
  5. Step 5: Solve for x
    x = 39,442,357,201/132,206
  6. Step 6: Final answer
    x = 298,340.14

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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.