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Finding the Third Proportional to 173,793 and 380,805

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Solution

The third proportional to 173,793 and 380,805 is: 834,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,793 : 380,805 = 380,805 : x
  2. Step 2: Convert to fraction form
    173,793/380,805 = 380,805/x
  3. Step 3: Cross multiply
    173,793x = 380,805 × 380,805
  4. Step 4: Simplify right side
    173,793x = 145,012,448,025
  5. Step 5: Solve for x
    x = 145,012,448,025/173,793
  6. Step 6: Final answer
    x = 834,397.52

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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.