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Finding the Third Proportional to 108,517 and 225,350

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Solution

The third proportional to 108,517 and 225,350 is: 467,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,517 : 225,350 = 225,350 : x
  2. Step 2: Convert to fraction form
    108,517/225,350 = 225,350/x
  3. Step 3: Cross multiply
    108,517x = 225,350 × 225,350
  4. Step 4: Simplify right side
    108,517x = 50,782,622,500
  5. Step 5: Solve for x
    x = 50,782,622,500/108,517
  6. Step 6: Final answer
    x = 467,969.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.