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Finding the Third Proportional to 178.31 and 269.44

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Solution

The third proportional to 178.31 and 269.44 is: 407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.31 : 269.44 = 269.44 : x
  2. Step 2: Convert to fraction form
    178.31/269.44 = 269.44/x
  3. Step 3: Cross multiply
    178.31x = 269.44 × 269.44
  4. Step 4: Simplify right side
    178.31x = 72,596.57
  5. Step 5: Solve for x
    x = 72,596.57/178.31
  6. Step 6: Final answer
    x = 407.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.