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Finding the Third Proportional to 149,713 and 220,194

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Solution

The third proportional to 149,713 and 220,194 is: 323,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,713 : 220,194 = 220,194 : x
  2. Step 2: Convert to fraction form
    149,713/220,194 = 220,194/x
  3. Step 3: Cross multiply
    149,713x = 220,194 × 220,194
  4. Step 4: Simplify right side
    149,713x = 48,485,397,636
  5. Step 5: Solve for x
    x = 48,485,397,636/149,713
  6. Step 6: Final answer
    x = 323,855.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.