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Finding the Third Proportional to 180 and 385.88

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Solution

The third proportional to 180 and 385.88 is: 827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 385.88 = 385.88 : x
  2. Step 2: Convert to fraction form
    180/385.88 = 385.88/x
  3. Step 3: Cross multiply
    180x = 385.88 × 385.88
  4. Step 4: Simplify right side
    180x = 148,899.52
  5. Step 5: Solve for x
    x = 148,899.52/180
  6. Step 6: Final answer
    x = 827.22

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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.