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Finding the Third Proportional to 203,003 and 437,110

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Solution

The third proportional to 203,003 and 437,110 is: 941,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,003 : 437,110 = 437,110 : x
  2. Step 2: Convert to fraction form
    203,003/437,110 = 437,110/x
  3. Step 3: Cross multiply
    203,003x = 437,110 × 437,110
  4. Step 4: Simplify right side
    203,003x = 191,065,152,100
  5. Step 5: Solve for x
    x = 191,065,152,100/203,003
  6. Step 6: Final answer
    x = 941,193.74

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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.