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Finding the Third Proportional to 132,498 and 198,223

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Solution

The third proportional to 132,498 and 198,223 is: 296,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,498 : 198,223 = 198,223 : x
  2. Step 2: Convert to fraction form
    132,498/198,223 = 198,223/x
  3. Step 3: Cross multiply
    132,498x = 198,223 × 198,223
  4. Step 4: Simplify right side
    132,498x = 39,292,357,729
  5. Step 5: Solve for x
    x = 39,292,357,729/132,498
  6. Step 6: Final answer
    x = 296,550.57

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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.