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Finding the Third Proportional to 131,809 and 283,643

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Solution

The third proportional to 131,809 and 283,643 is: 610,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,809 : 283,643 = 283,643 : x
  2. Step 2: Convert to fraction form
    131,809/283,643 = 283,643/x
  3. Step 3: Cross multiply
    131,809x = 283,643 × 283,643
  4. Step 4: Simplify right side
    131,809x = 80,453,351,449
  5. Step 5: Solve for x
    x = 80,453,351,449/131,809
  6. Step 6: Final answer
    x = 610,378.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.