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Finding the Third Proportional to 193,278 and 391,749

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Solution

The third proportional to 193,278 and 391,749 is: 794,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,278 : 391,749 = 391,749 : x
  2. Step 2: Convert to fraction form
    193,278/391,749 = 391,749/x
  3. Step 3: Cross multiply
    193,278x = 391,749 × 391,749
  4. Step 4: Simplify right side
    193,278x = 153,467,279,001
  5. Step 5: Solve for x
    x = 153,467,279,001/193,278
  6. Step 6: Final answer
    x = 794,023.53

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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.