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Finding the Third Proportional to 146,321 and 218,857

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Solution

The third proportional to 146,321 and 218,857 is: 327,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,321 : 218,857 = 218,857 : x
  2. Step 2: Convert to fraction form
    146,321/218,857 = 218,857/x
  3. Step 3: Cross multiply
    146,321x = 218,857 × 218,857
  4. Step 4: Simplify right side
    146,321x = 47,898,386,449
  5. Step 5: Solve for x
    x = 47,898,386,449/146,321
  6. Step 6: Final answer
    x = 327,351.42

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