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Finding the Third Proportional to 232.88 and 493.59

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Solution

The third proportional to 232.88 and 493.59 is: 1,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 493.59 = 493.59 : x
  2. Step 2: Convert to fraction form
    232.88/493.59 = 493.59/x
  3. Step 3: Cross multiply
    232.88x = 493.59 × 493.59
  4. Step 4: Simplify right side
    232.88x = 243,634.79
  5. Step 5: Solve for x
    x = 243,634.79/232.88
  6. Step 6: Final answer
    x = 1,046.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.