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Finding the Third Proportional to 96.88 and 232.44

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Solution

The third proportional to 96.88 and 232.44 is: 557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.88 : 232.44 = 232.44 : x
  2. Step 2: Convert to fraction form
    96.88/232.44 = 232.44/x
  3. Step 3: Cross multiply
    96.88x = 232.44 × 232.44
  4. Step 4: Simplify right side
    96.88x = 54,027.19
  5. Step 5: Solve for x
    x = 54,027.19/96.88
  6. Step 6: Final answer
    x = 557.70

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.