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Finding the Third Proportional to 201,881 and 437,204

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Solution

The third proportional to 201,881 and 437,204 is: 946,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,881 : 437,204 = 437,204 : x
  2. Step 2: Convert to fraction form
    201,881/437,204 = 437,204/x
  3. Step 3: Cross multiply
    201,881x = 437,204 × 437,204
  4. Step 4: Simplify right side
    201,881x = 191,147,337,616
  5. Step 5: Solve for x
    x = 191,147,337,616/201,881
  6. Step 6: Final answer
    x = 946,831.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.