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Finding the Third Proportional to 115,884 and 184,194

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Solution

The third proportional to 115,884 and 184,194 is: 292,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,884 : 184,194 = 184,194 : x
  2. Step 2: Convert to fraction form
    115,884/184,194 = 184,194/x
  3. Step 3: Cross multiply
    115,884x = 184,194 × 184,194
  4. Step 4: Simplify right side
    115,884x = 33,927,429,636
  5. Step 5: Solve for x
    x = 33,927,429,636/115,884
  6. Step 6: Final answer
    x = 292,770.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.