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Finding the Third Proportional to 146,322 and 218,859

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Solution

The third proportional to 146,322 and 218,859 is: 327,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,322 : 218,859 = 218,859 : x
  2. Step 2: Convert to fraction form
    146,322/218,859 = 218,859/x
  3. Step 3: Cross multiply
    146,322x = 218,859 × 218,859
  4. Step 4: Simplify right side
    146,322x = 47,899,261,881
  5. Step 5: Solve for x
    x = 47,899,261,881/146,322
  6. Step 6: Final answer
    x = 327,355.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.