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Finding the Third Proportional to 96,230 and 231,827

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Solution

The third proportional to 96,230 and 231,827 is: 558,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,230 : 231,827 = 231,827 : x
  2. Step 2: Convert to fraction form
    96,230/231,827 = 231,827/x
  3. Step 3: Cross multiply
    96,230x = 231,827 × 231,827
  4. Step 4: Simplify right side
    96,230x = 53,743,757,929
  5. Step 5: Solve for x
    x = 53,743,757,929/96,230
  6. Step 6: Final answer
    x = 558,492.76

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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.