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Finding the Third Proportional to 194,166 and 404,916

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Solution

The third proportional to 194,166 and 404,916 is: 844,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,166 : 404,916 = 404,916 : x
  2. Step 2: Convert to fraction form
    194,166/404,916 = 404,916/x
  3. Step 3: Cross multiply
    194,166x = 404,916 × 404,916
  4. Step 4: Simplify right side
    194,166x = 163,956,967,056
  5. Step 5: Solve for x
    x = 163,956,967,056/194,166
  6. Step 6: Final answer
    x = 844,416.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.