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Finding the Third Proportional to 187,767 and 405,027

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Solution

The third proportional to 187,767 and 405,027 is: 873,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,767 : 405,027 = 405,027 : x
  2. Step 2: Convert to fraction form
    187,767/405,027 = 405,027/x
  3. Step 3: Cross multiply
    187,767x = 405,027 × 405,027
  4. Step 4: Simplify right side
    187,767x = 164,046,870,729
  5. Step 5: Solve for x
    x = 164,046,870,729/187,767
  6. Step 6: Final answer
    x = 873,672.53

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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.