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Finding the Third Proportional to 196.49 and 294.73

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Solution

The third proportional to 196.49 and 294.73 is: 442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.49 : 294.73 = 294.73 : x
  2. Step 2: Convert to fraction form
    196.49/294.73 = 294.73/x
  3. Step 3: Cross multiply
    196.49x = 294.73 × 294.73
  4. Step 4: Simplify right side
    196.49x = 86,867.20
  5. Step 5: Solve for x
    x = 86,867.20/196.49
  6. Step 6: Final answer
    x = 442.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.