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Finding the Third Proportional to 163,819.97 and 220,180.78

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Solution

The third proportional to 163,819.97 and 220,180.78 is: 295,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,819.97 : 220,180.78 = 220,180.78 : x
  2. Step 2: Convert to fraction form
    163,819.97/220,180.78 = 220,180.78/x
  3. Step 3: Cross multiply
    163,819.97x = 220,180.78 × 220,180.78
  4. Step 4: Simplify right side
    163,819.97x = 48,479,576,431.86
  5. Step 5: Solve for x
    x = 48,479,576,431.86/163,819.97
  6. Step 6: Final answer
    x = 295,932.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.