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Finding the Third Proportional to 184,848 and 264,141

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Solution

The third proportional to 184,848 and 264,141 is: 377,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,848 : 264,141 = 264,141 : x
  2. Step 2: Convert to fraction form
    184,848/264,141 = 264,141/x
  3. Step 3: Cross multiply
    184,848x = 264,141 × 264,141
  4. Step 4: Simplify right side
    184,848x = 69,770,467,881
  5. Step 5: Solve for x
    x = 69,770,467,881/184,848
  6. Step 6: Final answer
    x = 377,447.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.