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Finding the Third Proportional to 181,876.50 and 395,229

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Solution

The third proportional to 181,876.50 and 395,229 is: 858,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,876.50 : 395,229 = 395,229 : x
  2. Step 2: Convert to fraction form
    181,876.50/395,229 = 395,229/x
  3. Step 3: Cross multiply
    181,876.50x = 395,229 × 395,229
  4. Step 4: Simplify right side
    181,876.50x = 156,205,962,441
  5. Step 5: Solve for x
    x = 156,205,962,441/181,876.50
  6. Step 6: Final answer
    x = 858,857.31

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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.