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Finding the Third Proportional to 256 and 364

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Solution

The third proportional to 256 and 364 is: 517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 364 = 364 : x
  2. Step 2: Convert to fraction form
    256/364 = 364/x
  3. Step 3: Cross multiply
    256x = 364 × 364
  4. Step 4: Simplify right side
    256x = 132,496
  5. Step 5: Solve for x
    x = 132,496/256
  6. Step 6: Final answer
    x = 517.56

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.