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Finding the Third Proportional to 173,856 and 380,926

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Solution

The third proportional to 173,856 and 380,926 is: 834,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,856 : 380,926 = 380,926 : x
  2. Step 2: Convert to fraction form
    173,856/380,926 = 380,926/x
  3. Step 3: Cross multiply
    173,856x = 380,926 × 380,926
  4. Step 4: Simplify right side
    173,856x = 145,104,617,476
  5. Step 5: Solve for x
    x = 145,104,617,476/173,856
  6. Step 6: Final answer
    x = 834,625.31

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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.