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Finding the Third Proportional to 116,938 and 188,328

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Solution

The third proportional to 116,938 and 188,328 is: 303,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,938 : 188,328 = 188,328 : x
  2. Step 2: Convert to fraction form
    116,938/188,328 = 188,328/x
  3. Step 3: Cross multiply
    116,938x = 188,328 × 188,328
  4. Step 4: Simplify right side
    116,938x = 35,467,435,584
  5. Step 5: Solve for x
    x = 35,467,435,584/116,938
  6. Step 6: Final answer
    x = 303,301.20

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.