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Finding the Third Proportional to 116,244 and 246,439

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Solution

The third proportional to 116,244 and 246,439 is: 522,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,244 : 246,439 = 246,439 : x
  2. Step 2: Convert to fraction form
    116,244/246,439 = 246,439/x
  3. Step 3: Cross multiply
    116,244x = 246,439 × 246,439
  4. Step 4: Simplify right side
    116,244x = 60,732,180,721
  5. Step 5: Solve for x
    x = 60,732,180,721/116,244
  6. Step 6: Final answer
    x = 522,454.33

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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.