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Finding the Third Proportional to 256.97 and 378.42

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Solution

The third proportional to 256.97 and 378.42 is: 557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.97 : 378.42 = 378.42 : x
  2. Step 2: Convert to fraction form
    256.97/378.42 = 378.42/x
  3. Step 3: Cross multiply
    256.97x = 378.42 × 378.42
  4. Step 4: Simplify right side
    256.97x = 143,203.12
  5. Step 5: Solve for x
    x = 143,203.12/256.97
  6. Step 6: Final answer
    x = 557.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.