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Finding the Third Proportional to 143,864 and 225,677

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Solution

The third proportional to 143,864 and 225,677 is: 354,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,864 : 225,677 = 225,677 : x
  2. Step 2: Convert to fraction form
    143,864/225,677 = 225,677/x
  3. Step 3: Cross multiply
    143,864x = 225,677 × 225,677
  4. Step 4: Simplify right side
    143,864x = 50,930,108,329
  5. Step 5: Solve for x
    x = 50,930,108,329/143,864
  6. Step 6: Final answer
    x = 354,015.66

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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.