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Finding the Third Proportional to 226.34 and 233.09

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Solution

The third proportional to 226.34 and 233.09 is: 240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.34 : 233.09 = 233.09 : x
  2. Step 2: Convert to fraction form
    226.34/233.09 = 233.09/x
  3. Step 3: Cross multiply
    226.34x = 233.09 × 233.09
  4. Step 4: Simplify right side
    226.34x = 54,329.05
  5. Step 5: Solve for x
    x = 54,329.05/226.34
  6. Step 6: Final answer
    x = 240.04

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.