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Finding the Third Proportional to 132,227.63 and 198,340.13

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Solution

The third proportional to 132,227.63 and 198,340.13 is: 297,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,227.63 : 198,340.13 = 198,340.13 : x
  2. Step 2: Convert to fraction form
    132,227.63/198,340.13 = 198,340.13/x
  3. Step 3: Cross multiply
    132,227.63x = 198,340.13 × 198,340.13
  4. Step 4: Simplify right side
    132,227.63x = 39,338,805,185.02
  5. Step 5: Solve for x
    x = 39,338,805,185.02/132,227.63
  6. Step 6: Final answer
    x = 297,508.22

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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.