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Finding the Third Proportional to 203,008 and 437,120

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Solution

The third proportional to 203,008 and 437,120 is: 941,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,008 : 437,120 = 437,120 : x
  2. Step 2: Convert to fraction form
    203,008/437,120 = 437,120/x
  3. Step 3: Cross multiply
    203,008x = 437,120 × 437,120
  4. Step 4: Simplify right side
    203,008x = 191,073,894,400
  5. Step 5: Solve for x
    x = 191,073,894,400/203,008
  6. Step 6: Final answer
    x = 941,213.62

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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.