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Finding the Third Proportional to 181,706 and 274,197

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Solution

The third proportional to 181,706 and 274,197 is: 413,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,706 : 274,197 = 274,197 : x
  2. Step 2: Convert to fraction form
    181,706/274,197 = 274,197/x
  3. Step 3: Cross multiply
    181,706x = 274,197 × 274,197
  4. Step 4: Simplify right side
    181,706x = 75,183,994,809
  5. Step 5: Solve for x
    x = 75,183,994,809/181,706
  6. Step 6: Final answer
    x = 413,767.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.