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Finding the Third Proportional to 207,967 and 321,881

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Solution

The third proportional to 207,967 and 321,881 is: 498,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,967 : 321,881 = 321,881 : x
  2. Step 2: Convert to fraction form
    207,967/321,881 = 321,881/x
  3. Step 3: Cross multiply
    207,967x = 321,881 × 321,881
  4. Step 4: Simplify right side
    207,967x = 103,607,378,161
  5. Step 5: Solve for x
    x = 103,607,378,161/207,967
  6. Step 6: Final answer
    x = 498,191.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.