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Finding the Third Proportional to 84,190 and 184,208

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Solution

The third proportional to 84,190 and 184,208 is: 403,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,190 : 184,208 = 184,208 : x
  2. Step 2: Convert to fraction form
    84,190/184,208 = 184,208/x
  3. Step 3: Cross multiply
    84,190x = 184,208 × 184,208
  4. Step 4: Simplify right side
    84,190x = 33,932,587,264
  5. Step 5: Solve for x
    x = 33,932,587,264/84,190
  6. Step 6: Final answer
    x = 403,047.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.