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Finding the Third Proportional to 174,728 and 379,128

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Solution

The third proportional to 174,728 and 379,128 is: 822,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,728 : 379,128 = 379,128 : x
  2. Step 2: Convert to fraction form
    174,728/379,128 = 379,128/x
  3. Step 3: Cross multiply
    174,728x = 379,128 × 379,128
  4. Step 4: Simplify right side
    174,728x = 143,738,040,384
  5. Step 5: Solve for x
    x = 143,738,040,384/174,728
  6. Step 6: Final answer
    x = 822,638.85

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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.