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Finding the Third Proportional to 226.97 and 342.35

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Solution

The third proportional to 226.97 and 342.35 is: 516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.97 : 342.35 = 342.35 : x
  2. Step 2: Convert to fraction form
    226.97/342.35 = 342.35/x
  3. Step 3: Cross multiply
    226.97x = 342.35 × 342.35
  4. Step 4: Simplify right side
    226.97x = 117,204.59
  5. Step 5: Solve for x
    x = 117,204.59/226.97
  6. Step 6: Final answer
    x = 516.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.