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Finding the Third Proportional to 189.84 and 396.56

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Solution

The third proportional to 189.84 and 396.56 is: 828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 396.56 = 396.56 : x
  2. Step 2: Convert to fraction form
    189.84/396.56 = 396.56/x
  3. Step 3: Cross multiply
    189.84x = 396.56 × 396.56
  4. Step 4: Simplify right side
    189.84x = 157,261.82
  5. Step 5: Solve for x
    x = 157,261.82/189.84
  6. Step 6: Final answer
    x = 828.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.