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Finding the Third Proportional to 160.71 and 225.85

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Solution

The third proportional to 160.71 and 225.85 is: 317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.71 : 225.85 = 225.85 : x
  2. Step 2: Convert to fraction form
    160.71/225.85 = 225.85/x
  3. Step 3: Cross multiply
    160.71x = 225.85 × 225.85
  4. Step 4: Simplify right side
    160.71x = 51,010.36
  5. Step 5: Solve for x
    x = 51,010.36/160.71
  6. Step 6: Final answer
    x = 317.40

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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.