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Finding the Third Proportional to 155,419 and 339,997

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Solution

The third proportional to 155,419 and 339,997 is: 743,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,419 : 339,997 = 339,997 : x
  2. Step 2: Convert to fraction form
    155,419/339,997 = 339,997/x
  3. Step 3: Cross multiply
    155,419x = 339,997 × 339,997
  4. Step 4: Simplify right side
    155,419x = 115,597,960,009
  5. Step 5: Solve for x
    x = 115,597,960,009/155,419
  6. Step 6: Final answer
    x = 743,782.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.