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Finding the Third Proportional to 164,612 and 354,204

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Solution

The third proportional to 164,612 and 354,204 is: 762,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,612 : 354,204 = 354,204 : x
  2. Step 2: Convert to fraction form
    164,612/354,204 = 354,204/x
  3. Step 3: Cross multiply
    164,612x = 354,204 × 354,204
  4. Step 4: Simplify right side
    164,612x = 125,460,473,616
  5. Step 5: Solve for x
    x = 125,460,473,616/164,612
  6. Step 6: Final answer
    x = 762,158.73

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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.