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Finding the Third Proportional to 226.23 and 334.76

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Solution

The third proportional to 226.23 and 334.76 is: 495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.23 : 334.76 = 334.76 : x
  2. Step 2: Convert to fraction form
    226.23/334.76 = 334.76/x
  3. Step 3: Cross multiply
    226.23x = 334.76 × 334.76
  4. Step 4: Simplify right side
    226.23x = 112,062.79
  5. Step 5: Solve for x
    x = 112,062.79/226.23
  6. Step 6: Final answer
    x = 495.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.