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Finding the Third Proportional to 184,172.63 and 276,942.38

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Solution

The third proportional to 184,172.63 and 276,942.38 is: 416,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,172.63 : 276,942.38 = 276,942.38 : x
  2. Step 2: Convert to fraction form
    184,172.63/276,942.38 = 276,942.38/x
  3. Step 3: Cross multiply
    184,172.63x = 276,942.38 × 276,942.38
  4. Step 4: Simplify right side
    184,172.63x = 76,697,079,070.64
  5. Step 5: Solve for x
    x = 76,697,079,070.64/184,172.63
  6. Step 6: Final answer
    x = 416,441.25

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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.