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Finding the Third Proportional to 226.88 and 519.94

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Solution

The third proportional to 226.88 and 519.94 is: 1,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.88 : 519.94 = 519.94 : x
  2. Step 2: Convert to fraction form
    226.88/519.94 = 519.94/x
  3. Step 3: Cross multiply
    226.88x = 519.94 × 519.94
  4. Step 4: Simplify right side
    226.88x = 270,335.00
  5. Step 5: Solve for x
    x = 270,335.00/226.88
  6. Step 6: Final answer
    x = 1,191.56

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.