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Finding the Third Proportional to 73.66 and 160.81

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Solution

The third proportional to 73.66 and 160.81 is: 351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.66 : 160.81 = 160.81 : x
  2. Step 2: Convert to fraction form
    73.66/160.81 = 160.81/x
  3. Step 3: Cross multiply
    73.66x = 160.81 × 160.81
  4. Step 4: Simplify right side
    73.66x = 25,860.66
  5. Step 5: Solve for x
    x = 25,860.66/73.66
  6. Step 6: Final answer
    x = 351.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.