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Finding the Third Proportional to 196,218 and 303,759

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Solution

The third proportional to 196,218 and 303,759 is: 470,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,218 : 303,759 = 303,759 : x
  2. Step 2: Convert to fraction form
    196,218/303,759 = 303,759/x
  3. Step 3: Cross multiply
    196,218x = 303,759 × 303,759
  4. Step 4: Simplify right side
    196,218x = 92,269,530,081
  5. Step 5: Solve for x
    x = 92,269,530,081/196,218
  6. Step 6: Final answer
    x = 470,239.89

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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.