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Finding the Third Proportional to 111,391.50 and 231,963

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Solution

The third proportional to 111,391.50 and 231,963 is: 483,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,391.50 : 231,963 = 231,963 : x
  2. Step 2: Convert to fraction form
    111,391.50/231,963 = 231,963/x
  3. Step 3: Cross multiply
    111,391.50x = 231,963 × 231,963
  4. Step 4: Simplify right side
    111,391.50x = 53,806,833,369
  5. Step 5: Solve for x
    x = 53,806,833,369/111,391.50
  6. Step 6: Final answer
    x = 483,042.54

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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.