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Finding the Third Proportional to 238,059 and 322,949

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Solution

The third proportional to 238,059 and 322,949 is: 438,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,059 : 322,949 = 322,949 : x
  2. Step 2: Convert to fraction form
    238,059/322,949 = 322,949/x
  3. Step 3: Cross multiply
    238,059x = 322,949 × 322,949
  4. Step 4: Simplify right side
    238,059x = 104,296,056,601
  5. Step 5: Solve for x
    x = 104,296,056,601/238,059
  6. Step 6: Final answer
    x = 438,110.12

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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.