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Finding the Third Proportional to 178.88 and 268.31

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Solution

The third proportional to 178.88 and 268.31 is: 402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.88 : 268.31 = 268.31 : x
  2. Step 2: Convert to fraction form
    178.88/268.31 = 268.31/x
  3. Step 3: Cross multiply
    178.88x = 268.31 × 268.31
  4. Step 4: Simplify right side
    178.88x = 71,991.60
  5. Step 5: Solve for x
    x = 71,991.60/178.88
  6. Step 6: Final answer
    x = 402.47

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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.