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Finding the Third Proportional to 171,976 and 265,744

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Solution

The third proportional to 171,976 and 265,744 is: 410,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,976 : 265,744 = 265,744 : x
  2. Step 2: Convert to fraction form
    171,976/265,744 = 265,744/x
  3. Step 3: Cross multiply
    171,976x = 265,744 × 265,744
  4. Step 4: Simplify right side
    171,976x = 70,619,873,536
  5. Step 5: Solve for x
    x = 70,619,873,536/171,976
  6. Step 6: Final answer
    x = 410,637.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.