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Finding the Third Proportional to 170.44 and 239.63

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Solution

The third proportional to 170.44 and 239.63 is: 336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.44 : 239.63 = 239.63 : x
  2. Step 2: Convert to fraction form
    170.44/239.63 = 239.63/x
  3. Step 3: Cross multiply
    170.44x = 239.63 × 239.63
  4. Step 4: Simplify right side
    170.44x = 57,420.14
  5. Step 5: Solve for x
    x = 57,420.14/170.44
  6. Step 6: Final answer
    x = 336.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.