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Finding the Third Proportional to 164,781 and 354,401

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Solution

The third proportional to 164,781 and 354,401 is: 762,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,781 : 354,401 = 354,401 : x
  2. Step 2: Convert to fraction form
    164,781/354,401 = 354,401/x
  3. Step 3: Cross multiply
    164,781x = 354,401 × 354,401
  4. Step 4: Simplify right side
    164,781x = 125,600,068,801
  5. Step 5: Solve for x
    x = 125,600,068,801/164,781
  6. Step 6: Final answer
    x = 762,224.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.