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Finding the Third Proportional to 143,876.25 and 225,207

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Solution

The third proportional to 143,876.25 and 225,207 is: 352,512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,876.25 : 225,207 = 225,207 : x
  2. Step 2: Convert to fraction form
    143,876.25/225,207 = 225,207/x
  3. Step 3: Cross multiply
    143,876.25x = 225,207 × 225,207
  4. Step 4: Simplify right side
    143,876.25x = 50,718,192,849
  5. Step 5: Solve for x
    x = 50,718,192,849/143,876.25
  6. Step 6: Final answer
    x = 352,512.61

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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.