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Finding the Third Proportional to 111,581 and 232,186

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Solution

The third proportional to 111,581 and 232,186 is: 483,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,581 : 232,186 = 232,186 : x
  2. Step 2: Convert to fraction form
    111,581/232,186 = 232,186/x
  3. Step 3: Cross multiply
    111,581x = 232,186 × 232,186
  4. Step 4: Simplify right side
    111,581x = 53,910,338,596
  5. Step 5: Solve for x
    x = 53,910,338,596/111,581
  6. Step 6: Final answer
    x = 483,149.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.