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Finding the Third Proportional to 173,898 and 381,048

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Solution

The third proportional to 173,898 and 381,048 is: 834,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,898 : 381,048 = 381,048 : x
  2. Step 2: Convert to fraction form
    173,898/381,048 = 381,048/x
  3. Step 3: Cross multiply
    173,898x = 381,048 × 381,048
  4. Step 4: Simplify right side
    173,898x = 145,197,578,304
  5. Step 5: Solve for x
    x = 145,197,578,304/173,898
  6. Step 6: Final answer
    x = 834,958.30

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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.