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Finding the Third Proportional to 119.60 and 180.67

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Solution

The third proportional to 119.60 and 180.67 is: 272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.60 : 180.67 = 180.67 : x
  2. Step 2: Convert to fraction form
    119.60/180.67 = 180.67/x
  3. Step 3: Cross multiply
    119.60x = 180.67 × 180.67
  4. Step 4: Simplify right side
    119.60x = 32,640.91
  5. Step 5: Solve for x
    x = 32,640.91/119.60
  6. Step 6: Final answer
    x = 272.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.