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Finding the Third Proportional to 115,366 and 255,782

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Solution

The third proportional to 115,366 and 255,782 is: 567,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,366 : 255,782 = 255,782 : x
  2. Step 2: Convert to fraction form
    115,366/255,782 = 255,782/x
  3. Step 3: Cross multiply
    115,366x = 255,782 × 255,782
  4. Step 4: Simplify right side
    115,366x = 65,424,431,524
  5. Step 5: Solve for x
    x = 65,424,431,524/115,366
  6. Step 6: Final answer
    x = 567,103.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.