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Finding the Third Proportional to 150,208 and 321,738

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Solution

The third proportional to 150,208 and 321,738 is: 689,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,208 : 321,738 = 321,738 : x
  2. Step 2: Convert to fraction form
    150,208/321,738 = 321,738/x
  3. Step 3: Cross multiply
    150,208x = 321,738 × 321,738
  4. Step 4: Simplify right side
    150,208x = 103,515,340,644
  5. Step 5: Solve for x
    x = 103,515,340,644/150,208
  6. Step 6: Final answer
    x = 689,146.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.