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Finding the Third Proportional to 193,122 and 403,884

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Solution

The third proportional to 193,122 and 403,884 is: 844,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,122 : 403,884 = 403,884 : x
  2. Step 2: Convert to fraction form
    193,122/403,884 = 403,884/x
  3. Step 3: Cross multiply
    193,122x = 403,884 × 403,884
  4. Step 4: Simplify right side
    193,122x = 163,122,285,456
  5. Step 5: Solve for x
    x = 163,122,285,456/193,122
  6. Step 6: Final answer
    x = 844,659.26

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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.