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Finding the Third Proportional to 116,448 and 246,744

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Solution

The third proportional to 116,448 and 246,744 is: 522,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,448 : 246,744 = 246,744 : x
  2. Step 2: Convert to fraction form
    116,448/246,744 = 246,744/x
  3. Step 3: Cross multiply
    116,448x = 246,744 × 246,744
  4. Step 4: Simplify right side
    116,448x = 60,882,601,536
  5. Step 5: Solve for x
    x = 60,882,601,536/116,448
  6. Step 6: Final answer
    x = 522,830.80

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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.