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Finding the Third Proportional to 201,104.44 and 416,128.50

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Solution

The third proportional to 201,104.44 and 416,128.50 is: 861,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,104.44 : 416,128.50 = 416,128.50 : x
  2. Step 2: Convert to fraction form
    201,104.44/416,128.50 = 416,128.50/x
  3. Step 3: Cross multiply
    201,104.44x = 416,128.50 × 416,128.50
  4. Step 4: Simplify right side
    201,104.44x = 173,162,928,512.25
  5. Step 5: Solve for x
    x = 173,162,928,512.25/201,104.44
  6. Step 6: Final answer
    x = 861,059.71

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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.