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Finding the Third Proportional to 193,932 and 415,512

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Solution

The third proportional to 193,932 and 415,512 is: 890,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,932 : 415,512 = 415,512 : x
  2. Step 2: Convert to fraction form
    193,932/415,512 = 415,512/x
  3. Step 3: Cross multiply
    193,932x = 415,512 × 415,512
  4. Step 4: Simplify right side
    193,932x = 172,650,222,144
  5. Step 5: Solve for x
    x = 172,650,222,144/193,932
  6. Step 6: Final answer
    x = 890,261.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.