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Finding the Third Proportional to 193,781 and 283,003

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Solution

The third proportional to 193,781 and 283,003 is: 413,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,781 : 283,003 = 283,003 : x
  2. Step 2: Convert to fraction form
    193,781/283,003 = 283,003/x
  3. Step 3: Cross multiply
    193,781x = 283,003 × 283,003
  4. Step 4: Simplify right side
    193,781x = 80,090,698,009
  5. Step 5: Solve for x
    x = 80,090,698,009/193,781
  6. Step 6: Final answer
    x = 413,305.22

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.