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Finding the Third Proportional to 169,325 and 361,977

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Solution

The third proportional to 169,325 and 361,977 is: 773,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,325 : 361,977 = 361,977 : x
  2. Step 2: Convert to fraction form
    169,325/361,977 = 361,977/x
  3. Step 3: Cross multiply
    169,325x = 361,977 × 361,977
  4. Step 4: Simplify right side
    169,325x = 131,027,348,529
  5. Step 5: Solve for x
    x = 131,027,348,529/169,325
  6. Step 6: Final answer
    x = 773,821.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.