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Finding the Third Proportional to 180.75 and 272.34

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Solution

The third proportional to 180.75 and 272.34 is: 410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 272.34 = 272.34 : x
  2. Step 2: Convert to fraction form
    180.75/272.34 = 272.34/x
  3. Step 3: Cross multiply
    180.75x = 272.34 × 272.34
  4. Step 4: Simplify right side
    180.75x = 74,171.12
  5. Step 5: Solve for x
    x = 74,171.12/180.75
  6. Step 6: Final answer
    x = 410.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.