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Finding the Third Proportional to 201,704 and 267,564

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Solution

The third proportional to 201,704 and 267,564 is: 354,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,704 : 267,564 = 267,564 : x
  2. Step 2: Convert to fraction form
    201,704/267,564 = 267,564/x
  3. Step 3: Cross multiply
    201,704x = 267,564 × 267,564
  4. Step 4: Simplify right side
    201,704x = 71,590,494,096
  5. Step 5: Solve for x
    x = 71,590,494,096/201,704
  6. Step 6: Final answer
    x = 354,928.48

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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.