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Finding the Third Proportional to 107,546 and 246,849

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Solution

The third proportional to 107,546 and 246,849 is: 566,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,546 : 246,849 = 246,849 : x
  2. Step 2: Convert to fraction form
    107,546/246,849 = 246,849/x
  3. Step 3: Cross multiply
    107,546x = 246,849 × 246,849
  4. Step 4: Simplify right side
    107,546x = 60,934,428,801
  5. Step 5: Solve for x
    x = 60,934,428,801/107,546
  6. Step 6: Final answer
    x = 566,589.45

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.