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Finding the Third Proportional to 256.82 and 385.22

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Solution

The third proportional to 256.82 and 385.22 is: 577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.82 : 385.22 = 385.22 : x
  2. Step 2: Convert to fraction form
    256.82/385.22 = 385.22/x
  3. Step 3: Cross multiply
    256.82x = 385.22 × 385.22
  4. Step 4: Simplify right side
    256.82x = 148,398.00
  5. Step 5: Solve for x
    x = 148,398.00/256.82
  6. Step 6: Final answer
    x = 577.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.