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Finding the Third Proportional to 256 and 347

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Solution

The third proportional to 256 and 347 is: 470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 347 = 347 : x
  2. Step 2: Convert to fraction form
    256/347 = 347/x
  3. Step 3: Cross multiply
    256x = 347 × 347
  4. Step 4: Simplify right side
    256x = 120,409
  5. Step 5: Solve for x
    x = 120,409/256
  6. Step 6: Final answer
    x = 470.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.