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Finding the Third Proportional to 119.13 and 178.94

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Solution

The third proportional to 119.13 and 178.94 is: 268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.13 : 178.94 = 178.94 : x
  2. Step 2: Convert to fraction form
    119.13/178.94 = 178.94/x
  3. Step 3: Cross multiply
    119.13x = 178.94 × 178.94
  4. Step 4: Simplify right side
    119.13x = 32,018.63
  5. Step 5: Solve for x
    x = 32,018.63/119.13
  6. Step 6: Final answer
    x = 268.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.