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Finding the Third Proportional to 120.44 and 276.88

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Solution

The third proportional to 120.44 and 276.88 is: 636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.44 : 276.88 = 276.88 : x
  2. Step 2: Convert to fraction form
    120.44/276.88 = 276.88/x
  3. Step 3: Cross multiply
    120.44x = 276.88 × 276.88
  4. Step 4: Simplify right side
    120.44x = 76,659.77
  5. Step 5: Solve for x
    x = 76,659.77/120.44
  6. Step 6: Final answer
    x = 636.51

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.