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Finding the Third Proportional to 190,183 and 401,589

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Solution

The third proportional to 190,183 and 401,589 is: 847,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,183 : 401,589 = 401,589 : x
  2. Step 2: Convert to fraction form
    190,183/401,589 = 401,589/x
  3. Step 3: Cross multiply
    190,183x = 401,589 × 401,589
  4. Step 4: Simplify right side
    190,183x = 161,273,724,921
  5. Step 5: Solve for x
    x = 161,273,724,921/190,183
  6. Step 6: Final answer
    x = 847,992.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.