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Finding the Third Proportional to 104,286 and 227,694

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Solution

The third proportional to 104,286 and 227,694 is: 497,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,286 : 227,694 = 227,694 : x
  2. Step 2: Convert to fraction form
    104,286/227,694 = 227,694/x
  3. Step 3: Cross multiply
    104,286x = 227,694 × 227,694
  4. Step 4: Simplify right side
    104,286x = 51,844,557,636
  5. Step 5: Solve for x
    x = 51,844,557,636/104,286
  6. Step 6: Final answer
    x = 497,138.23

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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.