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Finding the Third Proportional to 185,662.50 and 396,381

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Solution

The third proportional to 185,662.50 and 396,381 is: 846,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,662.50 : 396,381 = 396,381 : x
  2. Step 2: Convert to fraction form
    185,662.50/396,381 = 396,381/x
  3. Step 3: Cross multiply
    185,662.50x = 396,381 × 396,381
  4. Step 4: Simplify right side
    185,662.50x = 157,117,897,161
  5. Step 5: Solve for x
    x = 157,117,897,161/185,662.50
  6. Step 6: Final answer
    x = 846,255.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.