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Finding the Third Proportional to 121,806 and 219,311

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Solution

The third proportional to 121,806 and 219,311 is: 394,868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,806 : 219,311 = 219,311 : x
  2. Step 2: Convert to fraction form
    121,806/219,311 = 219,311/x
  3. Step 3: Cross multiply
    121,806x = 219,311 × 219,311
  4. Step 4: Simplify right side
    121,806x = 48,097,314,721
  5. Step 5: Solve for x
    x = 48,097,314,721/121,806
  6. Step 6: Final answer
    x = 394,868.19

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.