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Finding the Third Proportional to 185,050 and 398,167

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Solution

The third proportional to 185,050 and 398,167 is: 856,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,050 : 398,167 = 398,167 : x
  2. Step 2: Convert to fraction form
    185,050/398,167 = 398,167/x
  3. Step 3: Cross multiply
    185,050x = 398,167 × 398,167
  4. Step 4: Simplify right side
    185,050x = 158,536,959,889
  5. Step 5: Solve for x
    x = 158,536,959,889/185,050
  6. Step 6: Final answer
    x = 856,724.99

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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.