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Finding the Third Proportional to 268,167 and 397,612

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Solution

The third proportional to 268,167 and 397,612 is: 589,540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,167 : 397,612 = 397,612 : x
  2. Step 2: Convert to fraction form
    268,167/397,612 = 397,612/x
  3. Step 3: Cross multiply
    268,167x = 397,612 × 397,612
  4. Step 4: Simplify right side
    268,167x = 158,095,302,544
  5. Step 5: Solve for x
    x = 158,095,302,544/268,167
  6. Step 6: Final answer
    x = 589,540.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.