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Finding the Third Proportional to 180,922.50 and 386,743.78

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Solution

The third proportional to 180,922.50 and 386,743.78 is: 826,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,922.50 : 386,743.78 = 386,743.78 : x
  2. Step 2: Convert to fraction form
    180,922.50/386,743.78 = 386,743.78/x
  3. Step 3: Cross multiply
    180,922.50x = 386,743.78 × 386,743.78
  4. Step 4: Simplify right side
    180,922.50x = 149,570,752,335.55
  5. Step 5: Solve for x
    x = 149,570,752,335.55/180,922.50
  6. Step 6: Final answer
    x = 826,711.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.