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Finding the Third Proportional to 146,218 and 303,923

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Solution

The third proportional to 146,218 and 303,923 is: 631,722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,218 : 303,923 = 303,923 : x
  2. Step 2: Convert to fraction form
    146,218/303,923 = 303,923/x
  3. Step 3: Cross multiply
    146,218x = 303,923 × 303,923
  4. Step 4: Simplify right side
    146,218x = 92,369,189,929
  5. Step 5: Solve for x
    x = 92,369,189,929/146,218
  6. Step 6: Final answer
    x = 631,722.43

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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.