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Finding the Third Proportional to 238,593.94 and 519,171.19

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Solution

The third proportional to 238,593.94 and 519,171.19 is: 1,129,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,593.94 : 519,171.19 = 519,171.19 : x
  2. Step 2: Convert to fraction form
    238,593.94/519,171.19 = 519,171.19/x
  3. Step 3: Cross multiply
    238,593.94x = 519,171.19 × 519,171.19
  4. Step 4: Simplify right side
    238,593.94x = 269,538,721,930.16
  5. Step 5: Solve for x
    x = 269,538,721,930.16/238,593.94
  6. Step 6: Final answer
    x = 1,129,696.44

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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.