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Finding the Third Proportional to 117,734.50 and 252,425

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Solution

The third proportional to 117,734.50 and 252,425 is: 541,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,734.50 : 252,425 = 252,425 : x
  2. Step 2: Convert to fraction form
    117,734.50/252,425 = 252,425/x
  3. Step 3: Cross multiply
    117,734.50x = 252,425 × 252,425
  4. Step 4: Simplify right side
    117,734.50x = 63,718,380,625
  5. Step 5: Solve for x
    x = 63,718,380,625/117,734.50
  6. Step 6: Final answer
    x = 541,203.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.