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Finding the Third Proportional to 132,708.38 and 199,594.13

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Solution

The third proportional to 132,708.38 and 199,594.13 is: 300,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,708.38 : 199,594.13 = 199,594.13 : x
  2. Step 2: Convert to fraction form
    132,708.38/199,594.13 = 199,594.13/x
  3. Step 3: Cross multiply
    132,708.38x = 199,594.13 × 199,594.13
  4. Step 4: Simplify right side
    132,708.38x = 39,837,814,734.52
  5. Step 5: Solve for x
    x = 39,837,814,734.52/132,708.38
  6. Step 6: Final answer
    x = 300,190.66

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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.