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Finding the Third Proportional to 207,381 and 444,136

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Solution

The third proportional to 207,381 and 444,136 is: 951,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,381 : 444,136 = 444,136 : x
  2. Step 2: Convert to fraction form
    207,381/444,136 = 444,136/x
  3. Step 3: Cross multiply
    207,381x = 444,136 × 444,136
  4. Step 4: Simplify right side
    207,381x = 197,256,786,496
  5. Step 5: Solve for x
    x = 197,256,786,496/207,381
  6. Step 6: Final answer
    x = 951,180.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.