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Finding the Third Proportional to 196.13 and 303.38

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Solution

The third proportional to 196.13 and 303.38 is: 469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.13 : 303.38 = 303.38 : x
  2. Step 2: Convert to fraction form
    196.13/303.38 = 303.38/x
  3. Step 3: Cross multiply
    196.13x = 303.38 × 303.38
  4. Step 4: Simplify right side
    196.13x = 92,036.39
  5. Step 5: Solve for x
    x = 92,036.39/196.13
  6. Step 6: Final answer
    x = 469.27

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