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Finding the Third Proportional to 256 and 386.75

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Solution

The third proportional to 256 and 386.75 is: 584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 386.75 = 386.75 : x
  2. Step 2: Convert to fraction form
    256/386.75 = 386.75/x
  3. Step 3: Cross multiply
    256x = 386.75 × 386.75
  4. Step 4: Simplify right side
    256x = 149,575.56
  5. Step 5: Solve for x
    x = 149,575.56/256
  6. Step 6: Final answer
    x = 584.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.