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Finding the Third Proportional to 181,804 and 395,089

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Solution

The third proportional to 181,804 and 395,089 is: 858,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,804 : 395,089 = 395,089 : x
  2. Step 2: Convert to fraction form
    181,804/395,089 = 395,089/x
  3. Step 3: Cross multiply
    181,804x = 395,089 × 395,089
  4. Step 4: Simplify right side
    181,804x = 156,095,317,921
  5. Step 5: Solve for x
    x = 156,095,317,921/181,804
  6. Step 6: Final answer
    x = 858,591.22

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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.