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Finding the Third Proportional to 256 and 505

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Solution

The third proportional to 256 and 505 is: 996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 505 = 505 : x
  2. Step 2: Convert to fraction form
    256/505 = 505/x
  3. Step 3: Cross multiply
    256x = 505 × 505
  4. Step 4: Simplify right side
    256x = 255,025
  5. Step 5: Solve for x
    x = 255,025/256
  6. Step 6: Final answer
    x = 996.19

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.