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Finding the Third Proportional to 143,861.25 and 225,671.63

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Solution

The third proportional to 143,861.25 and 225,671.63 is: 354,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,861.25 : 225,671.63 = 225,671.63 : x
  2. Step 2: Convert to fraction form
    143,861.25/225,671.63 = 225,671.63/x
  3. Step 3: Cross multiply
    143,861.25x = 225,671.63 × 225,671.63
  4. Step 4: Simplify right side
    143,861.25x = 50,927,682,330.14
  5. Step 5: Solve for x
    x = 50,927,682,330.14/143,861.25
  6. Step 6: Final answer
    x = 354,005.56

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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.