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Finding the Third Proportional to 111,452.25 and 169,307.25

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Solution

The third proportional to 111,452.25 and 169,307.25 is: 257,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,452.25 : 169,307.25 = 169,307.25 : x
  2. Step 2: Convert to fraction form
    111,452.25/169,307.25 = 169,307.25/x
  3. Step 3: Cross multiply
    111,452.25x = 169,307.25 × 169,307.25
  4. Step 4: Simplify right side
    111,452.25x = 28,664,944,902.56
  5. Step 5: Solve for x
    x = 28,664,944,902.56/111,452.25
  6. Step 6: Final answer
    x = 257,194.85

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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.