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Finding the Third Proportional to 119.67 and 182.95

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Solution

The third proportional to 119.67 and 182.95 is: 279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.67 : 182.95 = 182.95 : x
  2. Step 2: Convert to fraction form
    119.67/182.95 = 182.95/x
  3. Step 3: Cross multiply
    119.67x = 182.95 × 182.95
  4. Step 4: Simplify right side
    119.67x = 33,471.85
  5. Step 5: Solve for x
    x = 33,471.85/119.67
  6. Step 6: Final answer
    x = 279.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.