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Finding the Third Proportional to 169,357.25 and 259,891.88

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Solution

The third proportional to 169,357.25 and 259,891.88 is: 398,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,357.25 : 259,891.88 = 259,891.88 : x
  2. Step 2: Convert to fraction form
    169,357.25/259,891.88 = 259,891.88/x
  3. Step 3: Cross multiply
    169,357.25x = 259,891.88 × 259,891.88
  4. Step 4: Simplify right side
    169,357.25x = 67,543,786,691.02
  5. Step 5: Solve for x
    x = 67,543,786,691.02/169,357.25
  6. Step 6: Final answer
    x = 398,824.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.