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Finding the Third Proportional to 180 and 388.69

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Solution

The third proportional to 180 and 388.69 is: 839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 388.69 = 388.69 : x
  2. Step 2: Convert to fraction form
    180/388.69 = 388.69/x
  3. Step 3: Cross multiply
    180x = 388.69 × 388.69
  4. Step 4: Simplify right side
    180x = 151,077.97
  5. Step 5: Solve for x
    x = 151,077.97/180
  6. Step 6: Final answer
    x = 839.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.