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Finding the Third Proportional to 173,846 and 418,661

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Solution

The third proportional to 173,846 and 418,661 is: 1,008,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,846 : 418,661 = 418,661 : x
  2. Step 2: Convert to fraction form
    173,846/418,661 = 418,661/x
  3. Step 3: Cross multiply
    173,846x = 418,661 × 418,661
  4. Step 4: Simplify right side
    173,846x = 175,277,032,921
  5. Step 5: Solve for x
    x = 175,277,032,921/173,846
  6. Step 6: Final answer
    x = 1,008,231.61

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.