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Finding the Third Proportional to 185,878 and 408,856

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Solution

The third proportional to 185,878 and 408,856 is: 899,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,878 : 408,856 = 408,856 : x
  2. Step 2: Convert to fraction form
    185,878/408,856 = 408,856/x
  3. Step 3: Cross multiply
    185,878x = 408,856 × 408,856
  4. Step 4: Simplify right side
    185,878x = 167,163,228,736
  5. Step 5: Solve for x
    x = 167,163,228,736/185,878
  6. Step 6: Final answer
    x = 899,316.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.