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Finding the Third Proportional to 226.39 and 333.18

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Solution

The third proportional to 226.39 and 333.18 is: 490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.39 : 333.18 = 333.18 : x
  2. Step 2: Convert to fraction form
    226.39/333.18 = 333.18/x
  3. Step 3: Cross multiply
    226.39x = 333.18 × 333.18
  4. Step 4: Simplify right side
    226.39x = 111,006.10
  5. Step 5: Solve for x
    x = 111,006.10/226.39
  6. Step 6: Final answer
    x = 490.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.