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Finding the Third Proportional to 201,716 and 267,581

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Solution

The third proportional to 201,716 and 267,581 is: 354,952.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,716 : 267,581 = 267,581 : x
  2. Step 2: Convert to fraction form
    201,716/267,581 = 267,581/x
  3. Step 3: Cross multiply
    201,716x = 267,581 × 267,581
  4. Step 4: Simplify right side
    201,716x = 71,599,591,561
  5. Step 5: Solve for x
    x = 71,599,591,561/201,716
  6. Step 6: Final answer
    x = 354,952.47

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