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Finding the Third Proportional to 198,244.97 and 297,807.19

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Solution

The third proportional to 198,244.97 and 297,807.19 is: 447,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,244.97 : 297,807.19 = 297,807.19 : x
  2. Step 2: Convert to fraction form
    198,244.97/297,807.19 = 297,807.19/x
  3. Step 3: Cross multiply
    198,244.97x = 297,807.19 × 297,807.19
  4. Step 4: Simplify right side
    198,244.97x = 88,689,120,926.66
  5. Step 5: Solve for x
    x = 88,689,120,926.66/198,244.97
  6. Step 6: Final answer
    x = 447,371.36

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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.