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Finding the Third Proportional to 146,925 and 218,227

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Solution

The third proportional to 146,925 and 218,227 is: 324,131.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,925 : 218,227 = 218,227 : x
  2. Step 2: Convert to fraction form
    146,925/218,227 = 218,227/x
  3. Step 3: Cross multiply
    146,925x = 218,227 × 218,227
  4. Step 4: Simplify right side
    146,925x = 47,623,023,529
  5. Step 5: Solve for x
    x = 47,623,023,529/146,925
  6. Step 6: Final answer
    x = 324,131.52

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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.