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Finding the Third Proportional to 143,925 and 225,266

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Solution

The third proportional to 143,925 and 225,266 is: 352,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,925 : 225,266 = 225,266 : x
  2. Step 2: Convert to fraction form
    143,925/225,266 = 225,266/x
  3. Step 3: Cross multiply
    143,925x = 225,266 × 225,266
  4. Step 4: Simplify right side
    143,925x = 50,744,770,756
  5. Step 5: Solve for x
    x = 50,744,770,756/143,925
  6. Step 6: Final answer
    x = 352,577.88

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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.