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Finding the Third Proportional to 184,491 and 276,740

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Solution

The third proportional to 184,491 and 276,740 is: 415,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,491 : 276,740 = 276,740 : x
  2. Step 2: Convert to fraction form
    184,491/276,740 = 276,740/x
  3. Step 3: Cross multiply
    184,491x = 276,740 × 276,740
  4. Step 4: Simplify right side
    184,491x = 76,585,027,600
  5. Step 5: Solve for x
    x = 76,585,027,600/184,491
  6. Step 6: Final answer
    x = 415,115.25

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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.