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Finding the Third Proportional to 96,256 and 231,891

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Solution

The third proportional to 96,256 and 231,891 is: 558,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,256 : 231,891 = 231,891 : x
  2. Step 2: Convert to fraction form
    96,256/231,891 = 231,891/x
  3. Step 3: Cross multiply
    96,256x = 231,891 × 231,891
  4. Step 4: Simplify right side
    96,256x = 53,773,435,881
  5. Step 5: Solve for x
    x = 53,773,435,881/96,256
  6. Step 6: Final answer
    x = 558,650.22

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.