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Finding the Third Proportional to 116,961.75 and 246,144.38

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Solution

The third proportional to 116,961.75 and 246,144.38 is: 518,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,961.75 : 246,144.38 = 246,144.38 : x
  2. Step 2: Convert to fraction form
    116,961.75/246,144.38 = 246,144.38/x
  3. Step 3: Cross multiply
    116,961.75x = 246,144.38 × 246,144.38
  4. Step 4: Simplify right side
    116,961.75x = 60,587,053,344.14
  5. Step 5: Solve for x
    x = 60,587,053,344.14/116,961.75
  6. Step 6: Final answer
    x = 518,007.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.