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Finding the Third Proportional to 231,012 and 338,517

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Solution

The third proportional to 231,012 and 338,517 is: 496,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,012 : 338,517 = 338,517 : x
  2. Step 2: Convert to fraction form
    231,012/338,517 = 338,517/x
  3. Step 3: Cross multiply
    231,012x = 338,517 × 338,517
  4. Step 4: Simplify right side
    231,012x = 114,593,759,289
  5. Step 5: Solve for x
    x = 114,593,759,289/231,012
  6. Step 6: Final answer
    x = 496,051.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.