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Finding the Third Proportional to 146,198 and 303,890

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Solution

The third proportional to 146,198 and 303,890 is: 631,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,198 : 303,890 = 303,890 : x
  2. Step 2: Convert to fraction form
    146,198/303,890 = 303,890/x
  3. Step 3: Cross multiply
    146,198x = 303,890 × 303,890
  4. Step 4: Simplify right side
    146,198x = 92,349,132,100
  5. Step 5: Solve for x
    x = 92,349,132,100/146,198
  6. Step 6: Final answer
    x = 631,671.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.