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Finding the Third Proportional to 182,171 and 285,177

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Solution

The third proportional to 182,171 and 285,177 is: 446,426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,171 : 285,177 = 285,177 : x
  2. Step 2: Convert to fraction form
    182,171/285,177 = 285,177/x
  3. Step 3: Cross multiply
    182,171x = 285,177 × 285,177
  4. Step 4: Simplify right side
    182,171x = 81,325,921,329
  5. Step 5: Solve for x
    x = 81,325,921,329/182,171
  6. Step 6: Final answer
    x = 446,426.28

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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.