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Finding the Third Proportional to 106,992 and 231,264

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Solution

The third proportional to 106,992 and 231,264 is: 499,878.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,992 : 231,264 = 231,264 : x
  2. Step 2: Convert to fraction form
    106,992/231,264 = 231,264/x
  3. Step 3: Cross multiply
    106,992x = 231,264 × 231,264
  4. Step 4: Simplify right side
    106,992x = 53,483,037,696
  5. Step 5: Solve for x
    x = 53,483,037,696/106,992
  6. Step 6: Final answer
    x = 499,878.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.