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Finding the Third Proportional to 146,933 and 218,239

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Solution

The third proportional to 146,933 and 218,239 is: 324,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,933 : 218,239 = 218,239 : x
  2. Step 2: Convert to fraction form
    146,933/218,239 = 218,239/x
  3. Step 3: Cross multiply
    146,933x = 218,239 × 218,239
  4. Step 4: Simplify right side
    146,933x = 47,628,261,121
  5. Step 5: Solve for x
    x = 47,628,261,121/146,933
  6. Step 6: Final answer
    x = 324,149.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.