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Finding the Third Proportional to 201,708 and 267,570

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Solution

The third proportional to 201,708 and 267,570 is: 354,937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,708 : 267,570 = 267,570 : x
  2. Step 2: Convert to fraction form
    201,708/267,570 = 267,570/x
  3. Step 3: Cross multiply
    201,708x = 267,570 × 267,570
  4. Step 4: Simplify right side
    201,708x = 71,593,704,900
  5. Step 5: Solve for x
    x = 71,593,704,900/201,708
  6. Step 6: Final answer
    x = 354,937.36

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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.