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Finding the Third Proportional to 177.82 and 380.32

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Solution

The third proportional to 177.82 and 380.32 is: 813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.82 : 380.32 = 380.32 : x
  2. Step 2: Convert to fraction form
    177.82/380.32 = 380.32/x
  3. Step 3: Cross multiply
    177.82x = 380.32 × 380.32
  4. Step 4: Simplify right side
    177.82x = 144,643.54
  5. Step 5: Solve for x
    x = 144,643.54/177.82
  6. Step 6: Final answer
    x = 813.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.