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Finding the Third Proportional to 201,732 and 267,606

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Solution

The third proportional to 201,732 and 267,606 is: 354,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,732 : 267,606 = 267,606 : x
  2. Step 2: Convert to fraction form
    201,732/267,606 = 267,606/x
  3. Step 3: Cross multiply
    201,732x = 267,606 × 267,606
  4. Step 4: Simplify right side
    201,732x = 71,612,971,236
  5. Step 5: Solve for x
    x = 71,612,971,236/201,732
  6. Step 6: Final answer
    x = 354,990.64

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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.