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Finding the Third Proportional to 160.18 and 344.92

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Solution

The third proportional to 160.18 and 344.92 is: 742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.18 : 344.92 = 344.92 : x
  2. Step 2: Convert to fraction form
    160.18/344.92 = 344.92/x
  3. Step 3: Cross multiply
    160.18x = 344.92 × 344.92
  4. Step 4: Simplify right side
    160.18x = 118,971.44
  5. Step 5: Solve for x
    x = 118,971.44/160.18
  6. Step 6: Final answer
    x = 742.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.