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Finding the Third Proportional to 170,707 and 263,759

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Solution

The third proportional to 170,707 and 263,759 is: 407,533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,707 : 263,759 = 263,759 : x
  2. Step 2: Convert to fraction form
    170,707/263,759 = 263,759/x
  3. Step 3: Cross multiply
    170,707x = 263,759 × 263,759
  4. Step 4: Simplify right side
    170,707x = 69,568,810,081
  5. Step 5: Solve for x
    x = 69,568,810,081/170,707
  6. Step 6: Final answer
    x = 407,533.43

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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.