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Finding the Third Proportional to 103,950 and 231,228

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Solution

The third proportional to 103,950 and 231,228 is: 514,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,950 : 231,228 = 231,228 : x
  2. Step 2: Convert to fraction form
    103,950/231,228 = 231,228/x
  3. Step 3: Cross multiply
    103,950x = 231,228 × 231,228
  4. Step 4: Simplify right side
    103,950x = 53,466,387,984
  5. Step 5: Solve for x
    x = 53,466,387,984/103,950
  6. Step 6: Final answer
    x = 514,347.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.