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Finding the Third Proportional to 187,954 and 405,251

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Solution

The third proportional to 187,954 and 405,251 is: 873,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,954 : 405,251 = 405,251 : x
  2. Step 2: Convert to fraction form
    187,954/405,251 = 405,251/x
  3. Step 3: Cross multiply
    187,954x = 405,251 × 405,251
  4. Step 4: Simplify right side
    187,954x = 164,228,373,001
  5. Step 5: Solve for x
    x = 164,228,373,001/187,954
  6. Step 6: Final answer
    x = 873,768.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.