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Finding the Third Proportional to 180 and 386

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Solution

The third proportional to 180 and 386 is: 827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 386 = 386 : x
  2. Step 2: Convert to fraction form
    180/386 = 386/x
  3. Step 3: Cross multiply
    180x = 386 × 386
  4. Step 4: Simplify right side
    180x = 148,996
  5. Step 5: Solve for x
    x = 148,996/180
  6. Step 6: Final answer
    x = 827.76

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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.