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Finding the Third Proportional to 201,204 and 418,937

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Solution

The third proportional to 201,204 and 418,937 is: 872,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204 : 418,937 = 418,937 : x
  2. Step 2: Convert to fraction form
    201,204/418,937 = 418,937/x
  3. Step 3: Cross multiply
    201,204x = 418,937 × 418,937
  4. Step 4: Simplify right side
    201,204x = 175,508,209,969
  5. Step 5: Solve for x
    x = 175,508,209,969/201,204
  6. Step 6: Final answer
    x = 872,289.86

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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.