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Finding the Third Proportional to 190,224 and 401,667

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Solution

The third proportional to 190,224 and 401,667 is: 848,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,224 : 401,667 = 401,667 : x
  2. Step 2: Convert to fraction form
    190,224/401,667 = 401,667/x
  3. Step 3: Cross multiply
    190,224x = 401,667 × 401,667
  4. Step 4: Simplify right side
    190,224x = 161,336,378,889
  5. Step 5: Solve for x
    x = 161,336,378,889/190,224
  6. Step 6: Final answer
    x = 848,138.93

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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.