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Finding the Third Proportional to 194,589 and 248,643

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Solution

The third proportional to 194,589 and 248,643 is: 317,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,589 : 248,643 = 248,643 : x
  2. Step 2: Convert to fraction form
    194,589/248,643 = 248,643/x
  3. Step 3: Cross multiply
    194,589x = 248,643 × 248,643
  4. Step 4: Simplify right side
    194,589x = 61,823,341,449
  5. Step 5: Solve for x
    x = 61,823,341,449/194,589
  6. Step 6: Final answer
    x = 317,712.42

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.