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Finding the Third Proportional to 198,681.75 and 297,240.75

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Solution

The third proportional to 198,681.75 and 297,240.75 is: 444,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,681.75 : 297,240.75 = 297,240.75 : x
  2. Step 2: Convert to fraction form
    198,681.75/297,240.75 = 297,240.75/x
  3. Step 3: Cross multiply
    198,681.75x = 297,240.75 × 297,240.75
  4. Step 4: Simplify right side
    198,681.75x = 88,352,063,460.56
  5. Step 5: Solve for x
    x = 88,352,063,460.56/198,681.75
  6. Step 6: Final answer
    x = 444,691.39

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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.