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Finding the Third Proportional to 201,616 and 440,126

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Solution

The third proportional to 201,616 and 440,126 is: 960,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,616 : 440,126 = 440,126 : x
  2. Step 2: Convert to fraction form
    201,616/440,126 = 440,126/x
  3. Step 3: Cross multiply
    201,616x = 440,126 × 440,126
  4. Step 4: Simplify right side
    201,616x = 193,710,895,876
  5. Step 5: Solve for x
    x = 193,710,895,876/201,616
  6. Step 6: Final answer
    x = 960,791.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.