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Finding the Third Proportional to 84,732.75 and 184,223.25

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Solution

The third proportional to 84,732.75 and 184,223.25 is: 400,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,732.75 : 184,223.25 = 184,223.25 : x
  2. Step 2: Convert to fraction form
    84,732.75/184,223.25 = 184,223.25/x
  3. Step 3: Cross multiply
    84,732.75x = 184,223.25 × 184,223.25
  4. Step 4: Simplify right side
    84,732.75x = 33,938,205,840.56
  5. Step 5: Solve for x
    x = 33,938,205,840.56/84,732.75
  6. Step 6: Final answer
    x = 400,532.33

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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.