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Finding the Third Proportional to 185,004 and 396,252

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Solution

The third proportional to 185,004 and 396,252 is: 848,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,004 : 396,252 = 396,252 : x
  2. Step 2: Convert to fraction form
    185,004/396,252 = 396,252/x
  3. Step 3: Cross multiply
    185,004x = 396,252 × 396,252
  4. Step 4: Simplify right side
    185,004x = 157,015,647,504
  5. Step 5: Solve for x
    x = 157,015,647,504/185,004
  6. Step 6: Final answer
    x = 848,714.88

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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.