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Finding the Third Proportional to 191,170 and 398,016

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Solution

The third proportional to 191,170 and 398,016 is: 828,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,170 : 398,016 = 398,016 : x
  2. Step 2: Convert to fraction form
    191,170/398,016 = 398,016/x
  3. Step 3: Cross multiply
    191,170x = 398,016 × 398,016
  4. Step 4: Simplify right side
    191,170x = 158,416,736,256
  5. Step 5: Solve for x
    x = 158,416,736,256/191,170
  6. Step 6: Final answer
    x = 828,669.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.