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Finding the Third Proportional to 115,994 and 246,204

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Solution

The third proportional to 115,994 and 246,204 is: 522,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,994 : 246,204 = 246,204 : x
  2. Step 2: Convert to fraction form
    115,994/246,204 = 246,204/x
  3. Step 3: Cross multiply
    115,994x = 246,204 × 246,204
  4. Step 4: Simplify right side
    115,994x = 60,616,409,616
  5. Step 5: Solve for x
    x = 60,616,409,616/115,994
  6. Step 6: Final answer
    x = 522,582.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.