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Finding the Third Proportional to 226.41 and 286.31

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Solution

The third proportional to 226.41 and 286.31 is: 362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.41 : 286.31 = 286.31 : x
  2. Step 2: Convert to fraction form
    226.41/286.31 = 286.31/x
  3. Step 3: Cross multiply
    226.41x = 286.31 × 286.31
  4. Step 4: Simplify right side
    226.41x = 81,974.85
  5. Step 5: Solve for x
    x = 81,974.85/226.41
  6. Step 6: Final answer
    x = 362.07

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.