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Finding the Third Proportional to 179.25 and 257.44

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Solution

The third proportional to 179.25 and 257.44 is: 369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.25 : 257.44 = 257.44 : x
  2. Step 2: Convert to fraction form
    179.25/257.44 = 257.44/x
  3. Step 3: Cross multiply
    179.25x = 257.44 × 257.44
  4. Step 4: Simplify right side
    179.25x = 66,274.07
  5. Step 5: Solve for x
    x = 66,274.07/179.25
  6. Step 6: Final answer
    x = 369.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.