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Finding the Third Proportional to 185,031 and 396,333

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Solution

The third proportional to 185,031 and 396,333 is: 848,938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,031 : 396,333 = 396,333 : x
  2. Step 2: Convert to fraction form
    185,031/396,333 = 396,333/x
  3. Step 3: Cross multiply
    185,031x = 396,333 × 396,333
  4. Step 4: Simplify right side
    185,031x = 157,079,846,889
  5. Step 5: Solve for x
    x = 157,079,846,889/185,031
  6. Step 6: Final answer
    x = 848,938.00

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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.