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Finding the Third Proportional to 84,809 and 184,360

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Solution

The third proportional to 84,809 and 184,360 is: 400,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,809 : 184,360 = 184,360 : x
  2. Step 2: Convert to fraction form
    84,809/184,360 = 184,360/x
  3. Step 3: Cross multiply
    84,809x = 184,360 × 184,360
  4. Step 4: Simplify right side
    84,809x = 33,988,609,600
  5. Step 5: Solve for x
    x = 33,988,609,600/84,809
  6. Step 6: Final answer
    x = 400,766.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.