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Finding the Third Proportional to 111,178.20 and 242,481.49

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Solution

The third proportional to 111,178.20 and 242,481.49 is: 528,856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,178.20 : 242,481.49 = 242,481.49 : x
  2. Step 2: Convert to fraction form
    111,178.20/242,481.49 = 242,481.49/x
  3. Step 3: Cross multiply
    111,178.20x = 242,481.49 × 242,481.49
  4. Step 4: Simplify right side
    111,178.20x = 58,797,272,632.69
  5. Step 5: Solve for x
    x = 58,797,272,632.69/111,178.20
  6. Step 6: Final answer
    x = 528,856.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.