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Finding the Third Proportional to 171,180 and 337,743

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Solution

The third proportional to 171,180 and 337,743 is: 666,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,180 : 337,743 = 337,743 : x
  2. Step 2: Convert to fraction form
    171,180/337,743 = 337,743/x
  3. Step 3: Cross multiply
    171,180x = 337,743 × 337,743
  4. Step 4: Simplify right side
    171,180x = 114,070,334,049
  5. Step 5: Solve for x
    x = 114,070,334,049/171,180
  6. Step 6: Final answer
    x = 666,376.53

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.