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Finding the Third Proportional to 178.13 and 271.88

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Solution

The third proportional to 178.13 and 271.88 is: 414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.13 : 271.88 = 271.88 : x
  2. Step 2: Convert to fraction form
    178.13/271.88 = 271.88/x
  3. Step 3: Cross multiply
    178.13x = 271.88 × 271.88
  4. Step 4: Simplify right side
    178.13x = 73,916.02
  5. Step 5: Solve for x
    x = 73,916.02/178.13
  6. Step 6: Final answer
    x = 414.97

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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.