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Finding the Third Proportional to 203,586 and 437,268

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Solution

The third proportional to 203,586 and 437,268 is: 939,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,586 : 437,268 = 437,268 : x
  2. Step 2: Convert to fraction form
    203,586/437,268 = 437,268/x
  3. Step 3: Cross multiply
    203,586x = 437,268 × 437,268
  4. Step 4: Simplify right side
    203,586x = 191,203,303,824
  5. Step 5: Solve for x
    x = 191,203,303,824/203,586
  6. Step 6: Final answer
    x = 939,177.07

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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.