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Finding the Third Proportional to 161.92 and 244.11

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Solution

The third proportional to 161.92 and 244.11 is: 368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.92 : 244.11 = 244.11 : x
  2. Step 2: Convert to fraction form
    161.92/244.11 = 244.11/x
  3. Step 3: Cross multiply
    161.92x = 244.11 × 244.11
  4. Step 4: Simplify right side
    161.92x = 59,588.43
  5. Step 5: Solve for x
    x = 59,588.43/161.92
  6. Step 6: Final answer
    x = 368.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.