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Finding the Third Proportional to 155,517 and 244,002

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Solution

The third proportional to 155,517 and 244,002 is: 382,832.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,517 : 244,002 = 244,002 : x
  2. Step 2: Convert to fraction form
    155,517/244,002 = 244,002/x
  3. Step 3: Cross multiply
    155,517x = 244,002 × 244,002
  4. Step 4: Simplify right side
    155,517x = 59,536,976,004
  5. Step 5: Solve for x
    x = 59,536,976,004/155,517
  6. Step 6: Final answer
    x = 382,832.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.