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Finding the Third Proportional to 181,657.69 and 395,163.56

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Solution

The third proportional to 181,657.69 and 395,163.56 is: 859,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,657.69 : 395,163.56 = 395,163.56 : x
  2. Step 2: Convert to fraction form
    181,657.69/395,163.56 = 395,163.56/x
  3. Step 3: Cross multiply
    181,657.69x = 395,163.56 × 395,163.56
  4. Step 4: Simplify right side
    181,657.69x = 156,154,241,127.69
  5. Step 5: Solve for x
    x = 156,154,241,127.69/181,657.69
  6. Step 6: Final answer
    x = 859,607.12

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