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Finding the Third Proportional to 164,078 and 347,874

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Solution

The third proportional to 164,078 and 347,874 is: 737,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,078 : 347,874 = 347,874 : x
  2. Step 2: Convert to fraction form
    164,078/347,874 = 347,874/x
  3. Step 3: Cross multiply
    164,078x = 347,874 × 347,874
  4. Step 4: Simplify right side
    164,078x = 121,016,319,876
  5. Step 5: Solve for x
    x = 121,016,319,876/164,078
  6. Step 6: Final answer
    x = 737,553.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.