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Finding the Third Proportional to 196.13 and 303.63

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Solution

The third proportional to 196.13 and 303.63 is: 470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.13 : 303.63 = 303.63 : x
  2. Step 2: Convert to fraction form
    196.13/303.63 = 303.63/x
  3. Step 3: Cross multiply
    196.13x = 303.63 × 303.63
  4. Step 4: Simplify right side
    196.13x = 92,188.14
  5. Step 5: Solve for x
    x = 92,188.14/196.13
  6. Step 6: Final answer
    x = 470.05

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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.