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Finding the Third Proportional to 200,659 and 267,637

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Solution

The third proportional to 200,659 and 267,637 is: 356,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,659 : 267,637 = 267,637 : x
  2. Step 2: Convert to fraction form
    200,659/267,637 = 267,637/x
  3. Step 3: Cross multiply
    200,659x = 267,637 × 267,637
  4. Step 4: Simplify right side
    200,659x = 71,629,563,769
  5. Step 5: Solve for x
    x = 71,629,563,769/200,659
  6. Step 6: Final answer
    x = 356,971.60

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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.