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Finding the Third Proportional to 111,768.75 and 238,302

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Solution

The third proportional to 111,768.75 and 238,302 is: 508,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,768.75 : 238,302 = 238,302 : x
  2. Step 2: Convert to fraction form
    111,768.75/238,302 = 238,302/x
  3. Step 3: Cross multiply
    111,768.75x = 238,302 × 238,302
  4. Step 4: Simplify right side
    111,768.75x = 56,787,843,204
  5. Step 5: Solve for x
    x = 56,787,843,204/111,768.75
  6. Step 6: Final answer
    x = 508,083.37

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.