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Finding the Third Proportional to 184,266 and 281,736

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Solution

The third proportional to 184,266 and 281,736 is: 430,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,266 : 281,736 = 281,736 : x
  2. Step 2: Convert to fraction form
    184,266/281,736 = 281,736/x
  3. Step 3: Cross multiply
    184,266x = 281,736 × 281,736
  4. Step 4: Simplify right side
    184,266x = 79,375,173,696
  5. Step 5: Solve for x
    x = 79,375,173,696/184,266
  6. Step 6: Final answer
    x = 430,764.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.