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Finding the Third Proportional to 180.56 and 204.05

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Solution

The third proportional to 180.56 and 204.05 is: 230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.56 : 204.05 = 204.05 : x
  2. Step 2: Convert to fraction form
    180.56/204.05 = 204.05/x
  3. Step 3: Cross multiply
    180.56x = 204.05 × 204.05
  4. Step 4: Simplify right side
    180.56x = 41,635.13
  5. Step 5: Solve for x
    x = 41,635.13/180.56
  6. Step 6: Final answer
    x = 230.59

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.