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Finding the Third Proportional to 196.49 and 264.83

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Solution

The third proportional to 196.49 and 264.83 is: 356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.49 : 264.83 = 264.83 : x
  2. Step 2: Convert to fraction form
    196.49/264.83 = 264.83/x
  3. Step 3: Cross multiply
    196.49x = 264.83 × 264.83
  4. Step 4: Simplify right side
    196.49x = 70,136.00
  5. Step 5: Solve for x
    x = 70,136.00/196.49
  6. Step 6: Final answer
    x = 356.95

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.