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Finding the Third Proportional to 143,832 and 225,136

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Solution

The third proportional to 143,832 and 225,136 is: 352,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,832 : 225,136 = 225,136 : x
  2. Step 2: Convert to fraction form
    143,832/225,136 = 225,136/x
  3. Step 3: Cross multiply
    143,832x = 225,136 × 225,136
  4. Step 4: Simplify right side
    143,832x = 50,686,218,496
  5. Step 5: Solve for x
    x = 50,686,218,496/143,832
  6. Step 6: Final answer
    x = 352,398.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.