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Finding the Third Proportional to 193,261 and 415,093

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Solution

The third proportional to 193,261 and 415,093 is: 891,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,261 : 415,093 = 415,093 : x
  2. Step 2: Convert to fraction form
    193,261/415,093 = 415,093/x
  3. Step 3: Cross multiply
    193,261x = 415,093 × 415,093
  4. Step 4: Simplify right side
    193,261x = 172,302,198,649
  5. Step 5: Solve for x
    x = 172,302,198,649/193,261
  6. Step 6: Final answer
    x = 891,551.83

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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.