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Finding the Third Proportional to 174,758 and 379,108

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Solution

The third proportional to 174,758 and 379,108 is: 822,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,758 : 379,108 = 379,108 : x
  2. Step 2: Convert to fraction form
    174,758/379,108 = 379,108/x
  3. Step 3: Cross multiply
    174,758x = 379,108 × 379,108
  4. Step 4: Simplify right side
    174,758x = 143,722,875,664
  5. Step 5: Solve for x
    x = 143,722,875,664/174,758
  6. Step 6: Final answer
    x = 822,410.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.