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Finding the Third Proportional to 73.27 and 160.49

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Solution

The third proportional to 73.27 and 160.49 is: 351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.27 : 160.49 = 160.49 : x
  2. Step 2: Convert to fraction form
    73.27/160.49 = 160.49/x
  3. Step 3: Cross multiply
    73.27x = 160.49 × 160.49
  4. Step 4: Simplify right side
    73.27x = 25,756.49
  5. Step 5: Solve for x
    x = 25,756.49/73.27
  6. Step 6: Final answer
    x = 351.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.