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Finding the Third Proportional to 120.28 and 179.63

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Solution

The third proportional to 120.28 and 179.63 is: 268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.28 : 179.63 = 179.63 : x
  2. Step 2: Convert to fraction form
    120.28/179.63 = 179.63/x
  3. Step 3: Cross multiply
    120.28x = 179.63 × 179.63
  4. Step 4: Simplify right side
    120.28x = 32,265.14
  5. Step 5: Solve for x
    x = 32,265.14/120.28
  6. Step 6: Final answer
    x = 268.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.