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Finding the Third Proportional to 184,026 and 278,800

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Solution

The third proportional to 184,026 and 278,800 is: 422,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,026 : 278,800 = 278,800 : x
  2. Step 2: Convert to fraction form
    184,026/278,800 = 278,800/x
  3. Step 3: Cross multiply
    184,026x = 278,800 × 278,800
  4. Step 4: Simplify right side
    184,026x = 77,729,440,000
  5. Step 5: Solve for x
    x = 77,729,440,000/184,026
  6. Step 6: Final answer
    x = 422,382.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.