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Finding the Third Proportional to 96,293 and 231,962

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Solution

The third proportional to 96,293 and 231,962 is: 558,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,293 : 231,962 = 231,962 : x
  2. Step 2: Convert to fraction form
    96,293/231,962 = 231,962/x
  3. Step 3: Cross multiply
    96,293x = 231,962 × 231,962
  4. Step 4: Simplify right side
    96,293x = 53,806,369,444
  5. Step 5: Solve for x
    x = 53,806,369,444/96,293
  6. Step 6: Final answer
    x = 558,777.58

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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.