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Finding the Third Proportional to 201,698 and 267,554

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Solution

The third proportional to 201,698 and 267,554 is: 354,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698 : 267,554 = 267,554 : x
  2. Step 2: Convert to fraction form
    201,698/267,554 = 267,554/x
  3. Step 3: Cross multiply
    201,698x = 267,554 × 267,554
  4. Step 4: Simplify right side
    201,698x = 71,585,142,916
  5. Step 5: Solve for x
    x = 71,585,142,916/201,698
  6. Step 6: Final answer
    x = 354,912.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.