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Finding the Third Proportional to 146,342 and 218,889

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Solution

The third proportional to 146,342 and 218,889 is: 327,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,342 : 218,889 = 218,889 : x
  2. Step 2: Convert to fraction form
    146,342/218,889 = 218,889/x
  3. Step 3: Cross multiply
    146,342x = 218,889 × 218,889
  4. Step 4: Simplify right side
    146,342x = 47,912,394,321
  5. Step 5: Solve for x
    x = 47,912,394,321/146,342
  6. Step 6: Final answer
    x = 327,400.16

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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.