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Finding the Third Proportional to 108.44 and 257.69

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Solution

The third proportional to 108.44 and 257.69 is: 612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.44 : 257.69 = 257.69 : x
  2. Step 2: Convert to fraction form
    108.44/257.69 = 257.69/x
  3. Step 3: Cross multiply
    108.44x = 257.69 × 257.69
  4. Step 4: Simplify right side
    108.44x = 66,402.85
  5. Step 5: Solve for x
    x = 66,402.85/108.44
  6. Step 6: Final answer
    x = 612.36

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.