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Finding the Third Proportional to 193,264 and 391,992

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Solution

The third proportional to 193,264 and 391,992 is: 795,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,264 : 391,992 = 391,992 : x
  2. Step 2: Convert to fraction form
    193,264/391,992 = 391,992/x
  3. Step 3: Cross multiply
    193,264x = 391,992 × 391,992
  4. Step 4: Simplify right side
    193,264x = 153,657,728,064
  5. Step 5: Solve for x
    x = 153,657,728,064/193,264
  6. Step 6: Final answer
    x = 795,066.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.