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Finding the Third Proportional to 267,118 and 381,954

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Solution

The third proportional to 267,118 and 381,954 is: 546,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,118 : 381,954 = 381,954 : x
  2. Step 2: Convert to fraction form
    267,118/381,954 = 381,954/x
  3. Step 3: Cross multiply
    267,118x = 381,954 × 381,954
  4. Step 4: Simplify right side
    267,118x = 145,888,858,116
  5. Step 5: Solve for x
    x = 145,888,858,116/267,118
  6. Step 6: Final answer
    x = 546,158.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.