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Finding the Third Proportional to 111,449.25 and 169,306.88

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Solution

The third proportional to 111,449.25 and 169,306.88 is: 257,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,449.25 : 169,306.88 = 169,306.88 : x
  2. Step 2: Convert to fraction form
    111,449.25/169,306.88 = 169,306.88/x
  3. Step 3: Cross multiply
    111,449.25x = 169,306.88 × 169,306.88
  4. Step 4: Simplify right side
    111,449.25x = 28,664,817,922.27
  5. Step 5: Solve for x
    x = 28,664,817,922.27/111,449.25
  6. Step 6: Final answer
    x = 257,200.64

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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.