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Finding the Third Proportional to 111,257 and 231,718

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Solution

The third proportional to 111,257 and 231,718 is: 482,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,257 : 231,718 = 231,718 : x
  2. Step 2: Convert to fraction form
    111,257/231,718 = 231,718/x
  3. Step 3: Cross multiply
    111,257x = 231,718 × 231,718
  4. Step 4: Simplify right side
    111,257x = 53,693,231,524
  5. Step 5: Solve for x
    x = 53,693,231,524/111,257
  6. Step 6: Final answer
    x = 482,605.42

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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.