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Finding the Third Proportional to 256 and 274

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Solution

The third proportional to 256 and 274 is: 293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 274 = 274 : x
  2. Step 2: Convert to fraction form
    256/274 = 274/x
  3. Step 3: Cross multiply
    256x = 274 × 274
  4. Step 4: Simplify right side
    256x = 75,076
  5. Step 5: Solve for x
    x = 75,076/256
  6. Step 6: Final answer
    x = 293.27

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.