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Finding the Third Proportional to 111,611.50 and 263,425

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Solution

The third proportional to 111,611.50 and 263,425 is: 621,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,611.50 : 263,425 = 263,425 : x
  2. Step 2: Convert to fraction form
    111,611.50/263,425 = 263,425/x
  3. Step 3: Cross multiply
    111,611.50x = 263,425 × 263,425
  4. Step 4: Simplify right side
    111,611.50x = 69,392,730,625
  5. Step 5: Solve for x
    x = 69,392,730,625/111,611.50
  6. Step 6: Final answer
    x = 621,734.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.