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Finding the Third Proportional to 193,879 and 405,415

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Solution

The third proportional to 193,879 and 405,415 is: 847,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,879 : 405,415 = 405,415 : x
  2. Step 2: Convert to fraction form
    193,879/405,415 = 405,415/x
  3. Step 3: Cross multiply
    193,879x = 405,415 × 405,415
  4. Step 4: Simplify right side
    193,879x = 164,361,322,225
  5. Step 5: Solve for x
    x = 164,361,322,225/193,879
  6. Step 6: Final answer
    x = 847,752.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.