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Finding the Third Proportional to 84,192.50 and 182,917.75

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Solution

The third proportional to 84,192.50 and 182,917.75 is: 397,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,192.50 : 182,917.75 = 182,917.75 : x
  2. Step 2: Convert to fraction form
    84,192.50/182,917.75 = 182,917.75/x
  3. Step 3: Cross multiply
    84,192.50x = 182,917.75 × 182,917.75
  4. Step 4: Simplify right side
    84,192.50x = 33,458,903,265.06
  5. Step 5: Solve for x
    x = 33,458,903,265.06/84,192.50
  6. Step 6: Final answer
    x = 397,409.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.