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Finding the Third Proportional to 185,452 and 279,042

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Solution

The third proportional to 185,452 and 279,042 is: 419,863.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,452 : 279,042 = 279,042 : x
  2. Step 2: Convert to fraction form
    185,452/279,042 = 279,042/x
  3. Step 3: Cross multiply
    185,452x = 279,042 × 279,042
  4. Step 4: Simplify right side
    185,452x = 77,864,437,764
  5. Step 5: Solve for x
    x = 77,864,437,764/185,452
  6. Step 6: Final answer
    x = 419,863.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.