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Finding the Third Proportional to 84,784.50 and 184,311

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Solution

The third proportional to 84,784.50 and 184,311 is: 400,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,784.50 : 184,311 = 184,311 : x
  2. Step 2: Convert to fraction form
    84,784.50/184,311 = 184,311/x
  3. Step 3: Cross multiply
    84,784.50x = 184,311 × 184,311
  4. Step 4: Simplify right side
    84,784.50x = 33,970,544,721
  5. Step 5: Solve for x
    x = 33,970,544,721/84,784.50
  6. Step 6: Final answer
    x = 400,669.28

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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.