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Finding the Third Proportional to 195,086 and 419,278

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Solution

The third proportional to 195,086 and 419,278 is: 901,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,086 : 419,278 = 419,278 : x
  2. Step 2: Convert to fraction form
    195,086/419,278 = 419,278/x
  3. Step 3: Cross multiply
    195,086x = 419,278 × 419,278
  4. Step 4: Simplify right side
    195,086x = 175,794,041,284
  5. Step 5: Solve for x
    x = 175,794,041,284/195,086
  6. Step 6: Final answer
    x = 901,110.49

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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.