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Finding the Third Proportional to 184,880 and 264,195

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Solution

The third proportional to 184,880 and 264,195 is: 377,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,880 : 264,195 = 264,195 : x
  2. Step 2: Convert to fraction form
    184,880/264,195 = 264,195/x
  3. Step 3: Cross multiply
    184,880x = 264,195 × 264,195
  4. Step 4: Simplify right side
    184,880x = 69,798,998,025
  5. Step 5: Solve for x
    x = 69,798,998,025/184,880
  6. Step 6: Final answer
    x = 377,536.77

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.