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Finding the Third Proportional to 187,769 and 283,251

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Solution

The third proportional to 187,769 and 283,251 is: 427,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,769 : 283,251 = 283,251 : x
  2. Step 2: Convert to fraction form
    187,769/283,251 = 283,251/x
  3. Step 3: Cross multiply
    187,769x = 283,251 × 283,251
  4. Step 4: Simplify right side
    187,769x = 80,231,129,001
  5. Step 5: Solve for x
    x = 80,231,129,001/187,769
  6. Step 6: Final answer
    x = 427,286.34

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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.