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Finding the Third Proportional to 115,996 and 246,208

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Solution

The third proportional to 115,996 and 246,208 is: 522,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,996 : 246,208 = 246,208 : x
  2. Step 2: Convert to fraction form
    115,996/246,208 = 246,208/x
  3. Step 3: Cross multiply
    115,996x = 246,208 × 246,208
  4. Step 4: Simplify right side
    115,996x = 60,618,379,264
  5. Step 5: Solve for x
    x = 60,618,379,264/115,996
  6. Step 6: Final answer
    x = 522,590.26

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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.