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Finding the Third Proportional to 206,230 and 436,868

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Solution

The third proportional to 206,230 and 436,868 is: 925,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,230 : 436,868 = 436,868 : x
  2. Step 2: Convert to fraction form
    206,230/436,868 = 436,868/x
  3. Step 3: Cross multiply
    206,230x = 436,868 × 436,868
  4. Step 4: Simplify right side
    206,230x = 190,853,649,424
  5. Step 5: Solve for x
    x = 190,853,649,424/206,230
  6. Step 6: Final answer
    x = 925,440.77

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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.