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Finding the Third Proportional to 181,363.50 and 395,511.75

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Solution

The third proportional to 181,363.50 and 395,511.75 is: 862,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,363.50 : 395,511.75 = 395,511.75 : x
  2. Step 2: Convert to fraction form
    181,363.50/395,511.75 = 395,511.75/x
  3. Step 3: Cross multiply
    181,363.50x = 395,511.75 × 395,511.75
  4. Step 4: Simplify right side
    181,363.50x = 156,429,544,388.06
  5. Step 5: Solve for x
    x = 156,429,544,388.06/181,363.50
  6. Step 6: Final answer
    x = 862,519.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.