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Finding the Third Proportional to 181,995.19 and 395,427.94

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Solution

The third proportional to 181,995.19 and 395,427.94 is: 859,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,995.19 : 395,427.94 = 395,427.94 : x
  2. Step 2: Convert to fraction form
    181,995.19/395,427.94 = 395,427.94/x
  3. Step 3: Cross multiply
    181,995.19x = 395,427.94 × 395,427.94
  4. Step 4: Simplify right side
    181,995.19x = 156,363,253,755.50
  5. Step 5: Solve for x
    x = 156,363,253,755.50/181,995.19
  6. Step 6: Final answer
    x = 859,161.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.