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Finding the Third Proportional to 232.69 and 339.94

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Solution

The third proportional to 232.69 and 339.94 is: 496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.69 : 339.94 = 339.94 : x
  2. Step 2: Convert to fraction form
    232.69/339.94 = 339.94/x
  3. Step 3: Cross multiply
    232.69x = 339.94 × 339.94
  4. Step 4: Simplify right side
    232.69x = 115,557.50
  5. Step 5: Solve for x
    x = 115,557.50/232.69
  6. Step 6: Final answer
    x = 496.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.