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Finding the Third Proportional to 179.25 and 269.25

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Solution

The third proportional to 179.25 and 269.25 is: 404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.25 : 269.25 = 269.25 : x
  2. Step 2: Convert to fraction form
    179.25/269.25 = 269.25/x
  3. Step 3: Cross multiply
    179.25x = 269.25 × 269.25
  4. Step 4: Simplify right side
    179.25x = 72,495.56
  5. Step 5: Solve for x
    x = 72,495.56/179.25
  6. Step 6: Final answer
    x = 404.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.