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Finding the Third Proportional to 201,181 and 418,728

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Solution

The third proportional to 201,181 and 418,728 is: 871,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,181 : 418,728 = 418,728 : x
  2. Step 2: Convert to fraction form
    201,181/418,728 = 418,728/x
  3. Step 3: Cross multiply
    201,181x = 418,728 × 418,728
  4. Step 4: Simplify right side
    201,181x = 175,333,137,984
  5. Step 5: Solve for x
    x = 175,333,137,984/201,181
  6. Step 6: Final answer
    x = 871,519.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.