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Finding the Third Proportional to 140,993 and 305,218

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Solution

The third proportional to 140,993 and 305,218 is: 660,728.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,993 : 305,218 = 305,218 : x
  2. Step 2: Convert to fraction form
    140,993/305,218 = 305,218/x
  3. Step 3: Cross multiply
    140,993x = 305,218 × 305,218
  4. Step 4: Simplify right side
    140,993x = 93,158,027,524
  5. Step 5: Solve for x
    x = 93,158,027,524/140,993
  6. Step 6: Final answer
    x = 660,728.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.