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Finding the Third Proportional to 203,372 and 475,085

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Solution

The third proportional to 203,372 and 475,085 is: 1,109,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,372 : 475,085 = 475,085 : x
  2. Step 2: Convert to fraction form
    203,372/475,085 = 475,085/x
  3. Step 3: Cross multiply
    203,372x = 475,085 × 475,085
  4. Step 4: Simplify right side
    203,372x = 225,705,757,225
  5. Step 5: Solve for x
    x = 225,705,757,225/203,372
  6. Step 6: Final answer
    x = 1,109,817.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.