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Finding the Third Proportional to 98.20 and 204.56

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Solution

The third proportional to 98.20 and 204.56 is: 426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.20 : 204.56 = 204.56 : x
  2. Step 2: Convert to fraction form
    98.20/204.56 = 204.56/x
  3. Step 3: Cross multiply
    98.20x = 204.56 × 204.56
  4. Step 4: Simplify right side
    98.20x = 41,843.42
  5. Step 5: Solve for x
    x = 41,843.42/98.20
  6. Step 6: Final answer
    x = 426.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.