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Finding the Third Proportional to 119,067 and 255,399

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Solution

The third proportional to 119,067 and 255,399 is: 547,831.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,067 : 255,399 = 255,399 : x
  2. Step 2: Convert to fraction form
    119,067/255,399 = 255,399/x
  3. Step 3: Cross multiply
    119,067x = 255,399 × 255,399
  4. Step 4: Simplify right side
    119,067x = 65,228,649,201
  5. Step 5: Solve for x
    x = 65,228,649,201/119,067
  6. Step 6: Final answer
    x = 547,831.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.