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Finding the Third Proportional to 198.56 and 309.94

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Solution

The third proportional to 198.56 and 309.94 is: 483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.56 : 309.94 = 309.94 : x
  2. Step 2: Convert to fraction form
    198.56/309.94 = 309.94/x
  3. Step 3: Cross multiply
    198.56x = 309.94 × 309.94
  4. Step 4: Simplify right side
    198.56x = 96,061.25
  5. Step 5: Solve for x
    x = 96,061.25/198.56
  6. Step 6: Final answer
    x = 483.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.