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Finding the Third Proportional to 104,832 and 246,624

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Solution

The third proportional to 104,832 and 246,624 is: 580,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,832 : 246,624 = 246,624 : x
  2. Step 2: Convert to fraction form
    104,832/246,624 = 246,624/x
  3. Step 3: Cross multiply
    104,832x = 246,624 × 246,624
  4. Step 4: Simplify right side
    104,832x = 60,823,397,376
  5. Step 5: Solve for x
    x = 60,823,397,376/104,832
  6. Step 6: Final answer
    x = 580,198.77

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.