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Finding the Third Proportional to 201,692 and 267,546

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Solution

The third proportional to 201,692 and 267,546 is: 354,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,692 : 267,546 = 267,546 : x
  2. Step 2: Convert to fraction form
    201,692/267,546 = 267,546/x
  3. Step 3: Cross multiply
    201,692x = 267,546 × 267,546
  4. Step 4: Simplify right side
    201,692x = 71,580,862,116
  5. Step 5: Solve for x
    x = 71,580,862,116/201,692
  6. Step 6: Final answer
    x = 354,901.84

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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.