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Finding the Third Proportional to 238,059 and 322,950

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Solution

The third proportional to 238,059 and 322,950 is: 438,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,059 : 322,950 = 322,950 : x
  2. Step 2: Convert to fraction form
    238,059/322,950 = 322,950/x
  3. Step 3: Cross multiply
    238,059x = 322,950 × 322,950
  4. Step 4: Simplify right side
    238,059x = 104,296,702,500
  5. Step 5: Solve for x
    x = 104,296,702,500/238,059
  6. Step 6: Final answer
    x = 438,112.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.