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Finding the Third Proportional to 282.38 and 396.56

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Solution

The third proportional to 282.38 and 396.56 is: 556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.38 : 396.56 = 396.56 : x
  2. Step 2: Convert to fraction form
    282.38/396.56 = 396.56/x
  3. Step 3: Cross multiply
    282.38x = 396.56 × 396.56
  4. Step 4: Simplify right side
    282.38x = 157,261.82
  5. Step 5: Solve for x
    x = 157,261.82/282.38
  6. Step 6: Final answer
    x = 556.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.