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Finding the Third Proportional to 169,467 and 361,451

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Solution

The third proportional to 169,467 and 361,451 is: 770,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,467 : 361,451 = 361,451 : x
  2. Step 2: Convert to fraction form
    169,467/361,451 = 361,451/x
  3. Step 3: Cross multiply
    169,467x = 361,451 × 361,451
  4. Step 4: Simplify right side
    169,467x = 130,646,825,401
  5. Step 5: Solve for x
    x = 130,646,825,401/169,467
  6. Step 6: Final answer
    x = 770,927.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.