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Finding the Third Proportional to 150,743 and 221,619

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Solution

The third proportional to 150,743 and 221,619 is: 325,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,743 : 221,619 = 221,619 : x
  2. Step 2: Convert to fraction form
    150,743/221,619 = 221,619/x
  3. Step 3: Cross multiply
    150,743x = 221,619 × 221,619
  4. Step 4: Simplify right side
    150,743x = 49,114,981,161
  5. Step 5: Solve for x
    x = 49,114,981,161/150,743
  6. Step 6: Final answer
    x = 325,819.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.