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Finding the Third Proportional to 193,272.75 and 415,116

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Solution

The third proportional to 193,272.75 and 415,116 is: 891,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,272.75 : 415,116 = 415,116 : x
  2. Step 2: Convert to fraction form
    193,272.75/415,116 = 415,116/x
  3. Step 3: Cross multiply
    193,272.75x = 415,116 × 415,116
  4. Step 4: Simplify right side
    193,272.75x = 172,321,293,456
  5. Step 5: Solve for x
    x = 172,321,293,456/193,272.75
  6. Step 6: Final answer
    x = 891,596.43

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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.