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Finding the Third Proportional to 171,728 and 368,848

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Solution

The third proportional to 171,728 and 368,848 is: 792,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,728 : 368,848 = 368,848 : x
  2. Step 2: Convert to fraction form
    171,728/368,848 = 368,848/x
  3. Step 3: Cross multiply
    171,728x = 368,848 × 368,848
  4. Step 4: Simplify right side
    171,728x = 136,048,847,104
  5. Step 5: Solve for x
    x = 136,048,847,104/171,728
  6. Step 6: Final answer
    x = 792,234.51

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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.