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Finding the Third Proportional to 181,769.50 and 372,353

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Solution

The third proportional to 181,769.50 and 372,353 is: 762,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,769.50 : 372,353 = 372,353 : x
  2. Step 2: Convert to fraction form
    181,769.50/372,353 = 372,353/x
  3. Step 3: Cross multiply
    181,769.50x = 372,353 × 372,353
  4. Step 4: Simplify right side
    181,769.50x = 138,646,756,609
  5. Step 5: Solve for x
    x = 138,646,756,609/181,769.50
  6. Step 6: Final answer
    x = 762,761.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.