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Finding the Third Proportional to 146,344 and 218,892

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Solution

The third proportional to 146,344 and 218,892 is: 327,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,344 : 218,892 = 218,892 : x
  2. Step 2: Convert to fraction form
    146,344/218,892 = 218,892/x
  3. Step 3: Cross multiply
    146,344x = 218,892 × 218,892
  4. Step 4: Simplify right side
    146,344x = 47,913,707,664
  5. Step 5: Solve for x
    x = 47,913,707,664/146,344
  6. Step 6: Final answer
    x = 327,404.66

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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.