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Finding the Third Proportional to 229.94 and 346.97

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Solution

The third proportional to 229.94 and 346.97 is: 523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.94 : 346.97 = 346.97 : x
  2. Step 2: Convert to fraction form
    229.94/346.97 = 346.97/x
  3. Step 3: Cross multiply
    229.94x = 346.97 × 346.97
  4. Step 4: Simplify right side
    229.94x = 120,387.31
  5. Step 5: Solve for x
    x = 120,387.31/229.94
  6. Step 6: Final answer
    x = 523.57

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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.