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Finding the Third Proportional to 184,222 and 281,679

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Solution

The third proportional to 184,222 and 281,679 is: 430,692.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,222 : 281,679 = 281,679 : x
  2. Step 2: Convert to fraction form
    184,222/281,679 = 281,679/x
  3. Step 3: Cross multiply
    184,222x = 281,679 × 281,679
  4. Step 4: Simplify right side
    184,222x = 79,343,059,041
  5. Step 5: Solve for x
    x = 79,343,059,041/184,222
  6. Step 6: Final answer
    x = 430,692.64

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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.