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Finding the Third Proportional to 181,072.50 and 389,757

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Solution

The third proportional to 181,072.50 and 389,757 is: 838,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,072.50 : 389,757 = 389,757 : x
  2. Step 2: Convert to fraction form
    181,072.50/389,757 = 389,757/x
  3. Step 3: Cross multiply
    181,072.50x = 389,757 × 389,757
  4. Step 4: Simplify right side
    181,072.50x = 151,910,519,049
  5. Step 5: Solve for x
    x = 151,910,519,049/181,072.50
  6. Step 6: Final answer
    x = 838,948.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.