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Finding the Third Proportional to 267,181 and 545,241

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Solution

The third proportional to 267,181 and 545,241 is: 1,112,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,181 : 545,241 = 545,241 : x
  2. Step 2: Convert to fraction form
    267,181/545,241 = 545,241/x
  3. Step 3: Cross multiply
    267,181x = 545,241 × 545,241
  4. Step 4: Simplify right side
    267,181x = 297,287,748,081
  5. Step 5: Solve for x
    x = 297,287,748,081/267,181
  6. Step 6: Final answer
    x = 1,112,682.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.