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Finding the Third Proportional to 171,324 and 368,163

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Solution

The third proportional to 171,324 and 368,163 is: 791,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,324 : 368,163 = 368,163 : x
  2. Step 2: Convert to fraction form
    171,324/368,163 = 368,163/x
  3. Step 3: Cross multiply
    171,324x = 368,163 × 368,163
  4. Step 4: Simplify right side
    171,324x = 135,543,994,569
  5. Step 5: Solve for x
    x = 135,543,994,569/171,324
  6. Step 6: Final answer
    x = 791,155.91

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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.