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Finding the Third Proportional to 196.17 and 280.55

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Solution

The third proportional to 196.17 and 280.55 is: 401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.17 : 280.55 = 280.55 : x
  2. Step 2: Convert to fraction form
    196.17/280.55 = 280.55/x
  3. Step 3: Cross multiply
    196.17x = 280.55 × 280.55
  4. Step 4: Simplify right side
    196.17x = 78,706.55
  5. Step 5: Solve for x
    x = 78,706.55/196.17
  6. Step 6: Final answer
    x = 401.21

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.