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Finding the Third Proportional to 111,217.50 and 231,651

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Solution

The third proportional to 111,217.50 and 231,651 is: 482,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,217.50 : 231,651 = 231,651 : x
  2. Step 2: Convert to fraction form
    111,217.50/231,651 = 231,651/x
  3. Step 3: Cross multiply
    111,217.50x = 231,651 × 231,651
  4. Step 4: Simplify right side
    111,217.50x = 53,662,185,801
  5. Step 5: Solve for x
    x = 53,662,185,801/111,217.50
  6. Step 6: Final answer
    x = 482,497.68

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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.