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Finding the Third Proportional to 171,291 and 368,772

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Solution

The third proportional to 171,291 and 368,772 is: 793,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,291 : 368,772 = 368,772 : x
  2. Step 2: Convert to fraction form
    171,291/368,772 = 368,772/x
  3. Step 3: Cross multiply
    171,291x = 368,772 × 368,772
  4. Step 4: Simplify right side
    171,291x = 135,992,787,984
  5. Step 5: Solve for x
    x = 135,992,787,984/171,291
  6. Step 6: Final answer
    x = 793,928.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.