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Finding the Third Proportional to 164,016 and 347,040

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Solution

The third proportional to 164,016 and 347,040 is: 734,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,016 : 347,040 = 347,040 : x
  2. Step 2: Convert to fraction form
    164,016/347,040 = 347,040/x
  3. Step 3: Cross multiply
    164,016x = 347,040 × 347,040
  4. Step 4: Simplify right side
    164,016x = 120,436,761,600
  5. Step 5: Solve for x
    x = 120,436,761,600/164,016
  6. Step 6: Final answer
    x = 734,298.86

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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.