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Finding the Third Proportional to 203,016 and 437,136

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Solution

The third proportional to 203,016 and 437,136 is: 941,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,016 : 437,136 = 437,136 : x
  2. Step 2: Convert to fraction form
    203,016/437,136 = 437,136/x
  3. Step 3: Cross multiply
    203,016x = 437,136 × 437,136
  4. Step 4: Simplify right side
    203,016x = 191,087,882,496
  5. Step 5: Solve for x
    x = 191,087,882,496/203,016
  6. Step 6: Final answer
    x = 941,245.43

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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.