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Finding the Third Proportional to 173,796 and 380,812

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Solution

The third proportional to 173,796 and 380,812 is: 834,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,796 : 380,812 = 380,812 : x
  2. Step 2: Convert to fraction form
    173,796/380,812 = 380,812/x
  3. Step 3: Cross multiply
    173,796x = 380,812 × 380,812
  4. Step 4: Simplify right side
    173,796x = 145,017,779,344
  5. Step 5: Solve for x
    x = 145,017,779,344/173,796
  6. Step 6: Final answer
    x = 834,413.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.