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Finding the Third Proportional to 160.03 and 226.64

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Solution

The third proportional to 160.03 and 226.64 is: 320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.03 : 226.64 = 226.64 : x
  2. Step 2: Convert to fraction form
    160.03/226.64 = 226.64/x
  3. Step 3: Cross multiply
    160.03x = 226.64 × 226.64
  4. Step 4: Simplify right side
    160.03x = 51,365.97
  5. Step 5: Solve for x
    x = 51,365.97/160.03
  6. Step 6: Final answer
    x = 320.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.