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Finding the Third Proportional to 201,698 and 267,555

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Solution

The third proportional to 201,698 and 267,555 is: 354,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698 : 267,555 = 267,555 : x
  2. Step 2: Convert to fraction form
    201,698/267,555 = 267,555/x
  3. Step 3: Cross multiply
    201,698x = 267,555 × 267,555
  4. Step 4: Simplify right side
    201,698x = 71,585,678,025
  5. Step 5: Solve for x
    x = 71,585,678,025/201,698
  6. Step 6: Final answer
    x = 354,915.16

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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.