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Finding the Third Proportional to 70,490.25 and 151,227

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Solution

The third proportional to 70,490.25 and 151,227 is: 324,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,490.25 : 151,227 = 151,227 : x
  2. Step 2: Convert to fraction form
    70,490.25/151,227 = 151,227/x
  3. Step 3: Cross multiply
    70,490.25x = 151,227 × 151,227
  4. Step 4: Simplify right side
    70,490.25x = 22,869,605,529
  5. Step 5: Solve for x
    x = 22,869,605,529/70,490.25
  6. Step 6: Final answer
    x = 324,436.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.