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Finding the Third Proportional to 225.85 and 338.78

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Solution

The third proportional to 225.85 and 338.78 is: 508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.85 : 338.78 = 338.78 : x
  2. Step 2: Convert to fraction form
    225.85/338.78 = 338.78/x
  3. Step 3: Cross multiply
    225.85x = 338.78 × 338.78
  4. Step 4: Simplify right side
    225.85x = 114,773.31
  5. Step 5: Solve for x
    x = 114,773.31/225.85
  6. Step 6: Final answer
    x = 508.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.