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Finding the Third Proportional to 181,996.31 and 395,430.75

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Solution

The third proportional to 181,996.31 and 395,430.75 is: 859,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,996.31 : 395,430.75 = 395,430.75 : x
  2. Step 2: Convert to fraction form
    181,996.31/395,430.75 = 395,430.75/x
  3. Step 3: Cross multiply
    181,996.31x = 395,430.75 × 395,430.75
  4. Step 4: Simplify right side
    181,996.31x = 156,365,478,045.56
  5. Step 5: Solve for x
    x = 156,365,478,045.56/181,996.31
  6. Step 6: Final answer
    x = 859,168.39

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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.