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Finding the Third Proportional to 196,383.66 and 300,286.41

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Solution

The third proportional to 196,383.66 and 300,286.41 is: 459,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,383.66 : 300,286.41 = 300,286.41 : x
  2. Step 2: Convert to fraction form
    196,383.66/300,286.41 = 300,286.41/x
  3. Step 3: Cross multiply
    196,383.66x = 300,286.41 × 300,286.41
  4. Step 4: Simplify right side
    196,383.66x = 90,171,925,778.54
  5. Step 5: Solve for x
    x = 90,171,925,778.54/196,383.66
  6. Step 6: Final answer
    x = 459,162.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.