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Finding the Third Proportional to 193,384 and 415,337

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Solution

The third proportional to 193,384 and 415,337 is: 892,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,384 : 415,337 = 415,337 : x
  2. Step 2: Convert to fraction form
    193,384/415,337 = 415,337/x
  3. Step 3: Cross multiply
    193,384x = 415,337 × 415,337
  4. Step 4: Simplify right side
    193,384x = 172,504,823,569
  5. Step 5: Solve for x
    x = 172,504,823,569/193,384
  6. Step 6: Final answer
    x = 892,032.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.