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Finding the Third Proportional to 182,696.25 and 398,592.75

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Solution

The third proportional to 182,696.25 and 398,592.75 is: 869,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,696.25 : 398,592.75 = 398,592.75 : x
  2. Step 2: Convert to fraction form
    182,696.25/398,592.75 = 398,592.75/x
  3. Step 3: Cross multiply
    182,696.25x = 398,592.75 × 398,592.75
  4. Step 4: Simplify right side
    182,696.25x = 158,876,180,352.56
  5. Step 5: Solve for x
    x = 158,876,180,352.56/182,696.25
  6. Step 6: Final answer
    x = 869,619.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.