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Finding the Third Proportional to 118,191 and 262,627

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Solution

The third proportional to 118,191 and 262,627 is: 583,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,191 : 262,627 = 262,627 : x
  2. Step 2: Convert to fraction form
    118,191/262,627 = 262,627/x
  3. Step 3: Cross multiply
    118,191x = 262,627 × 262,627
  4. Step 4: Simplify right side
    118,191x = 68,972,941,129
  5. Step 5: Solve for x
    x = 68,972,941,129/118,191
  6. Step 6: Final answer
    x = 583,571.86

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.