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Finding the Third Proportional to 161.81 and 242.81

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Solution

The third proportional to 161.81 and 242.81 is: 364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.81 : 242.81 = 242.81 : x
  2. Step 2: Convert to fraction form
    161.81/242.81 = 242.81/x
  3. Step 3: Cross multiply
    161.81x = 242.81 × 242.81
  4. Step 4: Simplify right side
    161.81x = 58,957.91
  5. Step 5: Solve for x
    x = 58,957.91/161.81
  6. Step 6: Final answer
    x = 364.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.