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Finding the Third Proportional to 111,193 and 236,481

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Solution

The third proportional to 111,193 and 236,481 is: 502,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,193 : 236,481 = 236,481 : x
  2. Step 2: Convert to fraction form
    111,193/236,481 = 236,481/x
  3. Step 3: Cross multiply
    111,193x = 236,481 × 236,481
  4. Step 4: Simplify right side
    111,193x = 55,923,263,361
  5. Step 5: Solve for x
    x = 55,923,263,361/111,193
  6. Step 6: Final answer
    x = 502,938.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.