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Finding the Third Proportional to 184,529 and 235,794

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Solution

The third proportional to 184,529 and 235,794 is: 301,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,529 : 235,794 = 235,794 : x
  2. Step 2: Convert to fraction form
    184,529/235,794 = 235,794/x
  3. Step 3: Cross multiply
    184,529x = 235,794 × 235,794
  4. Step 4: Simplify right side
    184,529x = 55,598,810,436
  5. Step 5: Solve for x
    x = 55,598,810,436/184,529
  6. Step 6: Final answer
    x = 301,301.21

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.