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Finding the Third Proportional to 132,846 and 200,241

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Solution

The third proportional to 132,846 and 200,241 is: 301,826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,846 : 200,241 = 200,241 : x
  2. Step 2: Convert to fraction form
    132,846/200,241 = 200,241/x
  3. Step 3: Cross multiply
    132,846x = 200,241 × 200,241
  4. Step 4: Simplify right side
    132,846x = 40,096,458,081
  5. Step 5: Solve for x
    x = 40,096,458,081/132,846
  6. Step 6: Final answer
    x = 301,826.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.