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Finding the Third Proportional to 173,884 and 380,977

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Solution

The third proportional to 173,884 and 380,977 is: 834,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,884 : 380,977 = 380,977 : x
  2. Step 2: Convert to fraction form
    173,884/380,977 = 380,977/x
  3. Step 3: Cross multiply
    173,884x = 380,977 × 380,977
  4. Step 4: Simplify right side
    173,884x = 145,143,474,529
  5. Step 5: Solve for x
    x = 145,143,474,529/173,884
  6. Step 6: Final answer
    x = 834,714.38

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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.