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Finding the Third Proportional to 120.88 and 296.38

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Solution

The third proportional to 120.88 and 296.38 is: 726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.88 : 296.38 = 296.38 : x
  2. Step 2: Convert to fraction form
    120.88/296.38 = 296.38/x
  3. Step 3: Cross multiply
    120.88x = 296.38 × 296.38
  4. Step 4: Simplify right side
    120.88x = 87,838.14
  5. Step 5: Solve for x
    x = 87,838.14/120.88
  6. Step 6: Final answer
    x = 726.69

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.