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Finding the Third Proportional to 184,852 and 276,046

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Solution

The third proportional to 184,852 and 276,046 is: 412,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,852 : 276,046 = 276,046 : x
  2. Step 2: Convert to fraction form
    184,852/276,046 = 276,046/x
  3. Step 3: Cross multiply
    184,852x = 276,046 × 276,046
  4. Step 4: Simplify right side
    184,852x = 76,201,394,116
  5. Step 5: Solve for x
    x = 76,201,394,116/184,852
  6. Step 6: Final answer
    x = 412,229.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.