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Finding the Third Proportional to 184,477 and 278,005

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Solution

The third proportional to 184,477 and 278,005 is: 418,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,477 : 278,005 = 278,005 : x
  2. Step 2: Convert to fraction form
    184,477/278,005 = 278,005/x
  3. Step 3: Cross multiply
    184,477x = 278,005 × 278,005
  4. Step 4: Simplify right side
    184,477x = 77,286,780,025
  5. Step 5: Solve for x
    x = 77,286,780,025/184,477
  6. Step 6: Final answer
    x = 418,950.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.