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Finding the Third Proportional to 179.94 and 272.44

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Solution

The third proportional to 179.94 and 272.44 is: 412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.94 : 272.44 = 272.44 : x
  2. Step 2: Convert to fraction form
    179.94/272.44 = 272.44/x
  3. Step 3: Cross multiply
    179.94x = 272.44 × 272.44
  4. Step 4: Simplify right side
    179.94x = 74,222.19
  5. Step 5: Solve for x
    x = 74,222.19/179.94
  6. Step 6: Final answer
    x = 412.49

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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.