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Finding the Third Proportional to 132,205.50 and 198,601.03

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Solution

The third proportional to 132,205.50 and 198,601.03 is: 298,341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,205.50 : 198,601.03 = 198,601.03 : x
  2. Step 2: Convert to fraction form
    132,205.50/198,601.03 = 198,601.03/x
  3. Step 3: Cross multiply
    132,205.50x = 198,601.03 × 198,601.03
  4. Step 4: Simplify right side
    132,205.50x = 39,442,369,613.56
  5. Step 5: Solve for x
    x = 39,442,369,613.56/132,205.50
  6. Step 6: Final answer
    x = 298,341.37

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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.