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Finding the Third Proportional to 163,275.75 and 247,375.69

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Solution

The third proportional to 163,275.75 and 247,375.69 is: 374,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,275.75 : 247,375.69 = 247,375.69 : x
  2. Step 2: Convert to fraction form
    163,275.75/247,375.69 = 247,375.69/x
  3. Step 3: Cross multiply
    163,275.75x = 247,375.69 × 247,375.69
  4. Step 4: Simplify right side
    163,275.75x = 61,194,730,766.10
  5. Step 5: Solve for x
    x = 61,194,730,766.10/163,275.75
  6. Step 6: Final answer
    x = 374,793.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.