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Finding the Third Proportional to 173,797 and 380,813

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Solution

The third proportional to 173,797 and 380,813 is: 834,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,797 : 380,813 = 380,813 : x
  2. Step 2: Convert to fraction form
    173,797/380,813 = 380,813/x
  3. Step 3: Cross multiply
    173,797x = 380,813 × 380,813
  4. Step 4: Simplify right side
    173,797x = 145,018,540,969
  5. Step 5: Solve for x
    x = 145,018,540,969/173,797
  6. Step 6: Final answer
    x = 834,413.37

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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.