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Finding the Third Proportional to 221,954 and 347,812

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Solution

The third proportional to 221,954 and 347,812 is: 545,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,954 : 347,812 = 347,812 : x
  2. Step 2: Convert to fraction form
    221,954/347,812 = 347,812/x
  3. Step 3: Cross multiply
    221,954x = 347,812 × 347,812
  4. Step 4: Simplify right side
    221,954x = 120,973,187,344
  5. Step 5: Solve for x
    x = 120,973,187,344/221,954
  6. Step 6: Final answer
    x = 545,037.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.