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Finding the Third Proportional to 155,024 and 327,456

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Solution

The third proportional to 155,024 and 327,456 is: 691,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,024 : 327,456 = 327,456 : x
  2. Step 2: Convert to fraction form
    155,024/327,456 = 327,456/x
  3. Step 3: Cross multiply
    155,024x = 327,456 × 327,456
  4. Step 4: Simplify right side
    155,024x = 107,227,431,936
  5. Step 5: Solve for x
    x = 107,227,431,936/155,024
  6. Step 6: Final answer
    x = 691,682.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.