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Finding the Third Proportional to 171,717 and 368,826

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Solution

The third proportional to 171,717 and 368,826 is: 792,190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,717 : 368,826 = 368,826 : x
  2. Step 2: Convert to fraction form
    171,717/368,826 = 368,826/x
  3. Step 3: Cross multiply
    171,717x = 368,826 × 368,826
  4. Step 4: Simplify right side
    171,717x = 136,032,618,276
  5. Step 5: Solve for x
    x = 136,032,618,276/171,717
  6. Step 6: Final answer
    x = 792,190.75

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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.