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Finding the Third Proportional to 171,227.25 and 272,696.63

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Solution

The third proportional to 171,227.25 and 272,696.63 is: 434,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,227.25 : 272,696.63 = 272,696.63 : x
  2. Step 2: Convert to fraction form
    171,227.25/272,696.63 = 272,696.63/x
  3. Step 3: Cross multiply
    171,227.25x = 272,696.63 × 272,696.63
  4. Step 4: Simplify right side
    171,227.25x = 74,363,449,286.39
  5. Step 5: Solve for x
    x = 74,363,449,286.39/171,227.25
  6. Step 6: Final answer
    x = 434,296.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.