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Finding the Third Proportional to 160.75 and 225.25

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Solution

The third proportional to 160.75 and 225.25 is: 315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.75 : 225.25 = 225.25 : x
  2. Step 2: Convert to fraction form
    160.75/225.25 = 225.25/x
  3. Step 3: Cross multiply
    160.75x = 225.25 × 225.25
  4. Step 4: Simplify right side
    160.75x = 50,737.56
  5. Step 5: Solve for x
    x = 50,737.56/160.75
  6. Step 6: Final answer
    x = 315.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.