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Finding the Third Proportional to 104,240 and 227,599

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Solution

The third proportional to 104,240 and 227,599 is: 496,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,240 : 227,599 = 227,599 : x
  2. Step 2: Convert to fraction form
    104,240/227,599 = 227,599/x
  3. Step 3: Cross multiply
    104,240x = 227,599 × 227,599
  4. Step 4: Simplify right side
    104,240x = 51,801,304,801
  5. Step 5: Solve for x
    x = 51,801,304,801/104,240
  6. Step 6: Final answer
    x = 496,942.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.