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Finding the Third Proportional to 201,163.50 and 418,694.06

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Solution

The third proportional to 201,163.50 and 418,694.06 is: 871,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,163.50 : 418,694.06 = 418,694.06 : x
  2. Step 2: Convert to fraction form
    201,163.50/418,694.06 = 418,694.06/x
  3. Step 3: Cross multiply
    201,163.50x = 418,694.06 × 418,694.06
  4. Step 4: Simplify right side
    201,163.50x = 175,304,717,972.75
  5. Step 5: Solve for x
    x = 175,304,717,972.75/201,163.50
  6. Step 6: Final answer
    x = 871,453.91

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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.