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Finding the Third Proportional to 84,584.25 and 182,391.75

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Solution

The third proportional to 84,584.25 and 182,391.75 is: 393,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,584.25 : 182,391.75 = 182,391.75 : x
  2. Step 2: Convert to fraction form
    84,584.25/182,391.75 = 182,391.75/x
  3. Step 3: Cross multiply
    84,584.25x = 182,391.75 × 182,391.75
  4. Step 4: Simplify right side
    84,584.25x = 33,266,750,468.06
  5. Step 5: Solve for x
    x = 33,266,750,468.06/84,584.25
  6. Step 6: Final answer
    x = 393,297.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.