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Finding the Third Proportional to 208,011 and 321,372

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Solution

The third proportional to 208,011 and 321,372 is: 496,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,011 : 321,372 = 321,372 : x
  2. Step 2: Convert to fraction form
    208,011/321,372 = 321,372/x
  3. Step 3: Cross multiply
    208,011x = 321,372 × 321,372
  4. Step 4: Simplify right side
    208,011x = 103,279,962,384
  5. Step 5: Solve for x
    x = 103,279,962,384/208,011
  6. Step 6: Final answer
    x = 496,512.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.