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Finding the Third Proportional to 170,796 and 256,744

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Solution

The third proportional to 170,796 and 256,744 is: 385,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,796 : 256,744 = 256,744 : x
  2. Step 2: Convert to fraction form
    170,796/256,744 = 256,744/x
  3. Step 3: Cross multiply
    170,796x = 256,744 × 256,744
  4. Step 4: Simplify right side
    170,796x = 65,917,481,536
  5. Step 5: Solve for x
    x = 65,917,481,536/170,796
  6. Step 6: Final answer
    x = 385,942.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.