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Finding the Third Proportional to 184,994 and 276,737

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Solution

The third proportional to 184,994 and 276,737 is: 413,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,994 : 276,737 = 276,737 : x
  2. Step 2: Convert to fraction form
    184,994/276,737 = 276,737/x
  3. Step 3: Cross multiply
    184,994x = 276,737 × 276,737
  4. Step 4: Simplify right side
    184,994x = 76,583,367,169
  5. Step 5: Solve for x
    x = 76,583,367,169/184,994
  6. Step 6: Final answer
    x = 413,977.57

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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.