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Finding the Third Proportional to 115.45 and 160.38

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Solution

The third proportional to 115.45 and 160.38 is: 222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.45 : 160.38 = 160.38 : x
  2. Step 2: Convert to fraction form
    115.45/160.38 = 160.38/x
  3. Step 3: Cross multiply
    115.45x = 160.38 × 160.38
  4. Step 4: Simplify right side
    115.45x = 25,722.65
  5. Step 5: Solve for x
    x = 25,722.65/115.45
  6. Step 6: Final answer
    x = 222.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.