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Finding the Third Proportional to 127,853.44 and 200,571.19

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Solution

The third proportional to 127,853.44 and 200,571.19 is: 314,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,853.44 : 200,571.19 = 200,571.19 : x
  2. Step 2: Convert to fraction form
    127,853.44/200,571.19 = 200,571.19/x
  3. Step 3: Cross multiply
    127,853.44x = 200,571.19 × 200,571.19
  4. Step 4: Simplify right side
    127,853.44x = 40,228,801,255.16
  5. Step 5: Solve for x
    x = 40,228,801,255.16/127,853.44
  6. Step 6: Final answer
    x = 314,647.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.