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Finding the Third Proportional to 184,014.28 and 276,942.80

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Solution

The third proportional to 184,014.28 and 276,942.80 is: 416,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,014.28 : 276,942.80 = 276,942.80 : x
  2. Step 2: Convert to fraction form
    184,014.28/276,942.80 = 276,942.80/x
  3. Step 3: Cross multiply
    184,014.28x = 276,942.80 × 276,942.80
  4. Step 4: Simplify right side
    184,014.28x = 76,697,312,740.95
  5. Step 5: Solve for x
    x = 76,697,312,740.95/184,014.28
  6. Step 6: Final answer
    x = 416,800.87

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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.