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Finding the Third Proportional to 118,361.25 and 178,770.38

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Solution

The third proportional to 118,361.25 and 178,770.38 is: 270,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,361.25 : 178,770.38 = 178,770.38 : x
  2. Step 2: Convert to fraction form
    118,361.25/178,770.38 = 178,770.38/x
  3. Step 3: Cross multiply
    118,361.25x = 178,770.38 × 178,770.38
  4. Step 4: Simplify right side
    118,361.25x = 31,958,846,977.64
  5. Step 5: Solve for x
    x = 31,958,846,977.64/118,361.25
  6. Step 6: Final answer
    x = 270,011.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.