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Finding the Third Proportional to 120,834 and 184,433

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Solution

The third proportional to 120,834 and 184,433 is: 281,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,834 : 184,433 = 184,433 : x
  2. Step 2: Convert to fraction form
    120,834/184,433 = 184,433/x
  3. Step 3: Cross multiply
    120,834x = 184,433 × 184,433
  4. Step 4: Simplify right side
    120,834x = 34,015,531,489
  5. Step 5: Solve for x
    x = 34,015,531,489/120,834
  6. Step 6: Final answer
    x = 281,506.29

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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.