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Finding the Third Proportional to 119.50 and 178.14

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Solution

The third proportional to 119.50 and 178.14 is: 265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.50 : 178.14 = 178.14 : x
  2. Step 2: Convert to fraction form
    119.50/178.14 = 178.14/x
  3. Step 3: Cross multiply
    119.50x = 178.14 × 178.14
  4. Step 4: Simplify right side
    119.50x = 31,732.69
  5. Step 5: Solve for x
    x = 31,732.69/119.50
  6. Step 6: Final answer
    x = 265.55

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Why These Related Problems?

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