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Finding the Third Proportional to 165.84 and 380.11

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Solution

The third proportional to 165.84 and 380.11 is: 871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 380.11 = 380.11 : x
  2. Step 2: Convert to fraction form
    165.84/380.11 = 380.11/x
  3. Step 3: Cross multiply
    165.84x = 380.11 × 380.11
  4. Step 4: Simplify right side
    165.84x = 144,483.14
  5. Step 5: Solve for x
    x = 144,483.14/165.84
  6. Step 6: Final answer
    x = 871.20

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.