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Finding the Third Proportional to 146,334 and 218,874

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Solution

The third proportional to 146,334 and 218,874 is: 327,373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,334 : 218,874 = 218,874 : x
  2. Step 2: Convert to fraction form
    146,334/218,874 = 218,874/x
  3. Step 3: Cross multiply
    146,334x = 218,874 × 218,874
  4. Step 4: Simplify right side
    146,334x = 47,905,827,876
  5. Step 5: Solve for x
    x = 47,905,827,876/146,334
  6. Step 6: Final answer
    x = 327,373.19

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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.