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Finding the Third Proportional to 111,188.25 and 239,262.19

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Solution

The third proportional to 111,188.25 and 239,262.19 is: 514,860.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,188.25 : 239,262.19 = 239,262.19 : x
  2. Step 2: Convert to fraction form
    111,188.25/239,262.19 = 239,262.19/x
  3. Step 3: Cross multiply
    111,188.25x = 239,262.19 × 239,262.19
  4. Step 4: Simplify right side
    111,188.25x = 57,246,394,367.29
  5. Step 5: Solve for x
    x = 57,246,394,367.29/111,188.25
  6. Step 6: Final answer
    x = 514,860.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.