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Finding the Third Proportional to 197,212 and 300,930

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Solution

The third proportional to 197,212 and 300,930 is: 459,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,212 : 300,930 = 300,930 : x
  2. Step 2: Convert to fraction form
    197,212/300,930 = 300,930/x
  3. Step 3: Cross multiply
    197,212x = 300,930 × 300,930
  4. Step 4: Simplify right side
    197,212x = 90,558,864,900
  5. Step 5: Solve for x
    x = 90,558,864,900/197,212
  6. Step 6: Final answer
    x = 459,195.51

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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.