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Finding the Third Proportional to 117,667 and 254,990

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Solution

The third proportional to 117,667 and 254,990 is: 552,575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,667 : 254,990 = 254,990 : x
  2. Step 2: Convert to fraction form
    117,667/254,990 = 254,990/x
  3. Step 3: Cross multiply
    117,667x = 254,990 × 254,990
  4. Step 4: Simplify right side
    117,667x = 65,019,900,100
  5. Step 5: Solve for x
    x = 65,019,900,100/117,667
  6. Step 6: Final answer
    x = 552,575.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.