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Finding the Third Proportional to 185,876 and 408,852

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Solution

The third proportional to 185,876 and 408,852 is: 899,308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,876 : 408,852 = 408,852 : x
  2. Step 2: Convert to fraction form
    185,876/408,852 = 408,852/x
  3. Step 3: Cross multiply
    185,876x = 408,852 × 408,852
  4. Step 4: Simplify right side
    185,876x = 167,159,957,904
  5. Step 5: Solve for x
    x = 167,159,957,904/185,876
  6. Step 6: Final answer
    x = 899,308.99

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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.