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Finding the Third Proportional to 132,922.69 and 198,514.97

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Solution

The third proportional to 132,922.69 and 198,514.97 is: 296,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,922.69 : 198,514.97 = 198,514.97 : x
  2. Step 2: Convert to fraction form
    132,922.69/198,514.97 = 198,514.97/x
  3. Step 3: Cross multiply
    132,922.69x = 198,514.97 × 198,514.97
  4. Step 4: Simplify right side
    132,922.69x = 39,408,192,817.81
  5. Step 5: Solve for x
    x = 39,408,192,817.81/132,922.69
  6. Step 6: Final answer
    x = 296,474.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.