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Finding the Third Proportional to 165,237.75 and 247,229.44

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Solution

The third proportional to 165,237.75 and 247,229.44 is: 369,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,237.75 : 247,229.44 = 247,229.44 : x
  2. Step 2: Convert to fraction form
    165,237.75/247,229.44 = 247,229.44/x
  3. Step 3: Cross multiply
    165,237.75x = 247,229.44 × 247,229.44
  4. Step 4: Simplify right side
    165,237.75x = 61,122,394,766.57
  5. Step 5: Solve for x
    x = 61,122,394,766.57/165,237.75
  6. Step 6: Final answer
    x = 369,905.76

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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.