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Finding the Third Proportional to 106,634 and 246,859

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Solution

The third proportional to 106,634 and 246,859 is: 571,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,634 : 246,859 = 246,859 : x
  2. Step 2: Convert to fraction form
    106,634/246,859 = 246,859/x
  3. Step 3: Cross multiply
    106,634x = 246,859 × 246,859
  4. Step 4: Simplify right side
    106,634x = 60,939,365,881
  5. Step 5: Solve for x
    x = 60,939,365,881/106,634
  6. Step 6: Final answer
    x = 571,481.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.