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Finding the Third Proportional to 173,884 and 381,104

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Solution

The third proportional to 173,884 and 381,104 is: 835,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,884 : 381,104 = 381,104 : x
  2. Step 2: Convert to fraction form
    173,884/381,104 = 381,104/x
  3. Step 3: Cross multiply
    173,884x = 381,104 × 381,104
  4. Step 4: Simplify right side
    173,884x = 145,240,258,816
  5. Step 5: Solve for x
    x = 145,240,258,816/173,884
  6. Step 6: Final answer
    x = 835,270.98

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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.