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Finding the Third Proportional to 203,180 and 436,600

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Solution

The third proportional to 203,180 and 436,600 is: 938,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,180 : 436,600 = 436,600 : x
  2. Step 2: Convert to fraction form
    203,180/436,600 = 436,600/x
  3. Step 3: Cross multiply
    203,180x = 436,600 × 436,600
  4. Step 4: Simplify right side
    203,180x = 190,619,560,000
  5. Step 5: Solve for x
    x = 190,619,560,000/203,180
  6. Step 6: Final answer
    x = 938,180.73

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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.