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Finding the Third Proportional to 131,638 and 209,230

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Solution

The third proportional to 131,638 and 209,230 is: 332,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,638 : 209,230 = 209,230 : x
  2. Step 2: Convert to fraction form
    131,638/209,230 = 209,230/x
  3. Step 3: Cross multiply
    131,638x = 209,230 × 209,230
  4. Step 4: Simplify right side
    131,638x = 43,777,192,900
  5. Step 5: Solve for x
    x = 43,777,192,900/131,638
  6. Step 6: Final answer
    x = 332,557.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.