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Finding the Third Proportional to 151,229 and 182,171

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Solution

The third proportional to 151,229 and 182,171 is: 219,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,229 : 182,171 = 182,171 : x
  2. Step 2: Convert to fraction form
    151,229/182,171 = 182,171/x
  3. Step 3: Cross multiply
    151,229x = 182,171 × 182,171
  4. Step 4: Simplify right side
    151,229x = 33,186,273,241
  5. Step 5: Solve for x
    x = 33,186,273,241/151,229
  6. Step 6: Final answer
    x = 219,443.85

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.