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Finding the Third Proportional to 184,977 and 276,957

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Solution

The third proportional to 184,977 and 276,957 is: 414,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,977 : 276,957 = 276,957 : x
  2. Step 2: Convert to fraction form
    184,977/276,957 = 276,957/x
  3. Step 3: Cross multiply
    184,977x = 276,957 × 276,957
  4. Step 4: Simplify right side
    184,977x = 76,705,179,849
  5. Step 5: Solve for x
    x = 76,705,179,849/184,977
  6. Step 6: Final answer
    x = 414,674.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.