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Finding the Third Proportional to 204,664 and 440,108

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Solution

The third proportional to 204,664 and 440,108 is: 946,405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,664 : 440,108 = 440,108 : x
  2. Step 2: Convert to fraction form
    204,664/440,108 = 440,108/x
  3. Step 3: Cross multiply
    204,664x = 440,108 × 440,108
  4. Step 4: Simplify right side
    204,664x = 193,695,051,664
  5. Step 5: Solve for x
    x = 193,695,051,664/204,664
  6. Step 6: Final answer
    x = 946,405.09

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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.