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Finding the Third Proportional to 184,850 and 276,043

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Solution

The third proportional to 184,850 and 276,043 is: 412,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,850 : 276,043 = 276,043 : x
  2. Step 2: Convert to fraction form
    184,850/276,043 = 276,043/x
  3. Step 3: Cross multiply
    184,850x = 276,043 × 276,043
  4. Step 4: Simplify right side
    184,850x = 76,199,737,849
  5. Step 5: Solve for x
    x = 76,199,737,849/184,850
  6. Step 6: Final answer
    x = 412,224.71

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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.