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Finding the Third Proportional to 178.03 and 269.16

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Solution

The third proportional to 178.03 and 269.16 is: 406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.03 : 269.16 = 269.16 : x
  2. Step 2: Convert to fraction form
    178.03/269.16 = 269.16/x
  3. Step 3: Cross multiply
    178.03x = 269.16 × 269.16
  4. Step 4: Simplify right side
    178.03x = 72,445.09
  5. Step 5: Solve for x
    x = 72,445.09/178.03
  6. Step 6: Final answer
    x = 406.92

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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.