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Finding the Third Proportional to 196,198 and 303,735

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Solution

The third proportional to 196,198 and 303,735 is: 470,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,198 : 303,735 = 303,735 : x
  2. Step 2: Convert to fraction form
    196,198/303,735 = 303,735/x
  3. Step 3: Cross multiply
    196,198x = 303,735 × 303,735
  4. Step 4: Simplify right side
    196,198x = 92,254,950,225
  5. Step 5: Solve for x
    x = 92,254,950,225/196,198
  6. Step 6: Final answer
    x = 470,213.51

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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.