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Finding the Third Proportional to 203,611.50 and 412,695

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Solution

The third proportional to 203,611.50 and 412,695 is: 836,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,611.50 : 412,695 = 412,695 : x
  2. Step 2: Convert to fraction form
    203,611.50/412,695 = 412,695/x
  3. Step 3: Cross multiply
    203,611.50x = 412,695 × 412,695
  4. Step 4: Simplify right side
    203,611.50x = 170,317,163,025
  5. Step 5: Solve for x
    x = 170,317,163,025/203,611.50
  6. Step 6: Final answer
    x = 836,481.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.