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Finding the Third Proportional to 84,274.31 and 181,055.25

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Solution

The third proportional to 84,274.31 and 181,055.25 is: 388,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,274.31 : 181,055.25 = 181,055.25 : x
  2. Step 2: Convert to fraction form
    84,274.31/181,055.25 = 181,055.25/x
  3. Step 3: Cross multiply
    84,274.31x = 181,055.25 × 181,055.25
  4. Step 4: Simplify right side
    84,274.31x = 32,781,003,552.56
  5. Step 5: Solve for x
    x = 32,781,003,552.56/84,274.31
  6. Step 6: Final answer
    x = 388,979.78

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