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Finding the Third Proportional to 194,728 and 294,198

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Solution

The third proportional to 194,728 and 294,198 is: 444,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,728 : 294,198 = 294,198 : x
  2. Step 2: Convert to fraction form
    194,728/294,198 = 294,198/x
  3. Step 3: Cross multiply
    194,728x = 294,198 × 294,198
  4. Step 4: Simplify right side
    194,728x = 86,552,463,204
  5. Step 5: Solve for x
    x = 86,552,463,204/194,728
  6. Step 6: Final answer
    x = 444,478.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.