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Finding the Third Proportional to 179,889.50 and 395,999

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Solution

The third proportional to 179,889.50 and 395,999 is: 871,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,889.50 : 395,999 = 395,999 : x
  2. Step 2: Convert to fraction form
    179,889.50/395,999 = 395,999/x
  3. Step 3: Cross multiply
    179,889.50x = 395,999 × 395,999
  4. Step 4: Simplify right side
    179,889.50x = 156,815,208,001
  5. Step 5: Solve for x
    x = 156,815,208,001/179,889.50
  6. Step 6: Final answer
    x = 871,730.75

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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.