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Finding the Third Proportional to 184,530 and 284,679

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Solution

The third proportional to 184,530 and 284,679 is: 439,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,530 : 284,679 = 284,679 : x
  2. Step 2: Convert to fraction form
    184,530/284,679 = 284,679/x
  3. Step 3: Cross multiply
    184,530x = 284,679 × 284,679
  4. Step 4: Simplify right side
    184,530x = 81,042,133,041
  5. Step 5: Solve for x
    x = 81,042,133,041/184,530
  6. Step 6: Final answer
    x = 439,181.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.