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Finding the Third Proportional to 201,166 and 418,698

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Solution

The third proportional to 201,166 and 418,698 is: 871,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,166 : 418,698 = 418,698 : x
  2. Step 2: Convert to fraction form
    201,166/418,698 = 418,698/x
  3. Step 3: Cross multiply
    201,166x = 418,698 × 418,698
  4. Step 4: Simplify right side
    201,166x = 175,308,015,204
  5. Step 5: Solve for x
    x = 175,308,015,204/201,166
  6. Step 6: Final answer
    x = 871,459.47

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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.