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Finding the Third Proportional to 211,032 and 326,325

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Solution

The third proportional to 211,032 and 326,325 is: 504,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,032 : 326,325 = 326,325 : x
  2. Step 2: Convert to fraction form
    211,032/326,325 = 326,325/x
  3. Step 3: Cross multiply
    211,032x = 326,325 × 326,325
  4. Step 4: Simplify right side
    211,032x = 106,488,005,625
  5. Step 5: Solve for x
    x = 106,488,005,625/211,032
  6. Step 6: Final answer
    x = 504,605.96

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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.