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Finding the Third Proportional to 203,961 and 432,234

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Solution

The third proportional to 203,961 and 432,234 is: 915,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,961 : 432,234 = 432,234 : x
  2. Step 2: Convert to fraction form
    203,961/432,234 = 432,234/x
  3. Step 3: Cross multiply
    203,961x = 432,234 × 432,234
  4. Step 4: Simplify right side
    203,961x = 186,826,230,756
  5. Step 5: Solve for x
    x = 186,826,230,756/203,961
  6. Step 6: Final answer
    x = 915,989.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.