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Finding the Third Proportional to 184,172.25 and 396,683.25

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Solution

The third proportional to 184,172.25 and 396,683.25 is: 854,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,172.25 : 396,683.25 = 396,683.25 : x
  2. Step 2: Convert to fraction form
    184,172.25/396,683.25 = 396,683.25/x
  3. Step 3: Cross multiply
    184,172.25x = 396,683.25 × 396,683.25
  4. Step 4: Simplify right side
    184,172.25x = 157,357,600,830.56
  5. Step 5: Solve for x
    x = 157,357,600,830.56/184,172.25
  6. Step 6: Final answer
    x = 854,404.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.