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Finding the Third Proportional to 106,769 and 246,839

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Solution

The third proportional to 106,769 and 246,839 is: 570,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,769 : 246,839 = 246,839 : x
  2. Step 2: Convert to fraction form
    106,769/246,839 = 246,839/x
  3. Step 3: Cross multiply
    106,769x = 246,839 × 246,839
  4. Step 4: Simplify right side
    106,769x = 60,929,491,921
  5. Step 5: Solve for x
    x = 60,929,491,921/106,769
  6. Step 6: Final answer
    x = 570,666.50

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.