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Finding the Third Proportional to 193,108 and 403,873

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Solution

The third proportional to 193,108 and 403,873 is: 844,674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,108 : 403,873 = 403,873 : x
  2. Step 2: Convert to fraction form
    193,108/403,873 = 403,873/x
  3. Step 3: Cross multiply
    193,108x = 403,873 × 403,873
  4. Step 4: Simplify right side
    193,108x = 163,113,400,129
  5. Step 5: Solve for x
    x = 163,113,400,129/193,108
  6. Step 6: Final answer
    x = 844,674.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.