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Finding the Third Proportional to 262,168 and 394,548

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Solution

The third proportional to 262,168 and 394,548 is: 593,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,168 : 394,548 = 394,548 : x
  2. Step 2: Convert to fraction form
    262,168/394,548 = 394,548/x
  3. Step 3: Cross multiply
    262,168x = 394,548 × 394,548
  4. Step 4: Simplify right side
    262,168x = 155,668,124,304
  5. Step 5: Solve for x
    x = 155,668,124,304/262,168
  6. Step 6: Final answer
    x = 593,772.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.