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Finding the Third Proportional to 180.25 and 272.63

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Solution

The third proportional to 180.25 and 272.63 is: 412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.25 : 272.63 = 272.63 : x
  2. Step 2: Convert to fraction form
    180.25/272.63 = 272.63/x
  3. Step 3: Cross multiply
    180.25x = 272.63 × 272.63
  4. Step 4: Simplify right side
    180.25x = 74,324.39
  5. Step 5: Solve for x
    x = 74,324.39/180.25
  6. Step 6: Final answer
    x = 412.34

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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.