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Finding the Third Proportional to 210,211 and 323,093

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Solution

The third proportional to 210,211 and 323,093 is: 496,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,211 : 323,093 = 323,093 : x
  2. Step 2: Convert to fraction form
    210,211/323,093 = 323,093/x
  3. Step 3: Cross multiply
    210,211x = 323,093 × 323,093
  4. Step 4: Simplify right side
    210,211x = 104,389,086,649
  5. Step 5: Solve for x
    x = 104,389,086,649/210,211
  6. Step 6: Final answer
    x = 496,591.93

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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.