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Finding the Third Proportional to 229.75 and 351.38

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Solution

The third proportional to 229.75 and 351.38 is: 537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.75 : 351.38 = 351.38 : x
  2. Step 2: Convert to fraction form
    229.75/351.38 = 351.38/x
  3. Step 3: Cross multiply
    229.75x = 351.38 × 351.38
  4. Step 4: Simplify right side
    229.75x = 123,464.39
  5. Step 5: Solve for x
    x = 123,464.39/229.75
  6. Step 6: Final answer
    x = 537.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.