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Finding the Third Proportional to 120,830 and 184,427

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Solution

The third proportional to 120,830 and 184,427 is: 281,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,830 : 184,427 = 184,427 : x
  2. Step 2: Convert to fraction form
    120,830/184,427 = 184,427/x
  3. Step 3: Cross multiply
    120,830x = 184,427 × 184,427
  4. Step 4: Simplify right side
    120,830x = 34,013,318,329
  5. Step 5: Solve for x
    x = 34,013,318,329/120,830
  6. Step 6: Final answer
    x = 281,497.30

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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.