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Finding the Third Proportional to 170.06 and 223.78

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Solution

The third proportional to 170.06 and 223.78 is: 294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.06 : 223.78 = 223.78 : x
  2. Step 2: Convert to fraction form
    170.06/223.78 = 223.78/x
  3. Step 3: Cross multiply
    170.06x = 223.78 × 223.78
  4. Step 4: Simplify right side
    170.06x = 50,078.05
  5. Step 5: Solve for x
    x = 50,078.05/170.06
  6. Step 6: Final answer
    x = 294.47

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.