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Finding the Third Proportional to 201,132 and 416,181

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Solution

The third proportional to 201,132 and 416,181 is: 861,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,132 : 416,181 = 416,181 : x
  2. Step 2: Convert to fraction form
    201,132/416,181 = 416,181/x
  3. Step 3: Cross multiply
    201,132x = 416,181 × 416,181
  4. Step 4: Simplify right side
    201,132x = 173,206,624,761
  5. Step 5: Solve for x
    x = 173,206,624,761/201,132
  6. Step 6: Final answer
    x = 861,158.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.