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Finding the Third Proportional to 185,056 and 398,176

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Solution

The third proportional to 185,056 and 398,176 is: 856,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,056 : 398,176 = 398,176 : x
  2. Step 2: Convert to fraction form
    185,056/398,176 = 398,176/x
  3. Step 3: Cross multiply
    185,056x = 398,176 × 398,176
  4. Step 4: Simplify right side
    185,056x = 158,544,126,976
  5. Step 5: Solve for x
    x = 158,544,126,976/185,056
  6. Step 6: Final answer
    x = 856,735.94

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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.