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Finding the Third Proportional to 146,343 and 218,889

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Solution

The third proportional to 146,343 and 218,889 is: 327,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,343 : 218,889 = 218,889 : x
  2. Step 2: Convert to fraction form
    146,343/218,889 = 218,889/x
  3. Step 3: Cross multiply
    146,343x = 218,889 × 218,889
  4. Step 4: Simplify right side
    146,343x = 47,912,394,321
  5. Step 5: Solve for x
    x = 47,912,394,321/146,343
  6. Step 6: Final answer
    x = 327,397.92

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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.