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Finding the Third Proportional to 171,230 and 368,812

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Solution

The third proportional to 171,230 and 368,812 is: 794,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,230 : 368,812 = 368,812 : x
  2. Step 2: Convert to fraction form
    171,230/368,812 = 368,812/x
  3. Step 3: Cross multiply
    171,230x = 368,812 × 368,812
  4. Step 4: Simplify right side
    171,230x = 136,022,291,344
  5. Step 5: Solve for x
    x = 136,022,291,344/171,230
  6. Step 6: Final answer
    x = 794,383.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.