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Finding the Third Proportional to 196.03 and 303.61

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Solution

The third proportional to 196.03 and 303.61 is: 470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.03 : 303.61 = 303.61 : x
  2. Step 2: Convert to fraction form
    196.03/303.61 = 303.61/x
  3. Step 3: Cross multiply
    196.03x = 303.61 × 303.61
  4. Step 4: Simplify right side
    196.03x = 92,178.65
  5. Step 5: Solve for x
    x = 92,178.65/196.03
  6. Step 6: Final answer
    x = 470.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.