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Finding the Third Proportional to 184,517 and 275,816

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Solution

The third proportional to 184,517 and 275,816 is: 412,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,517 : 275,816 = 275,816 : x
  2. Step 2: Convert to fraction form
    184,517/275,816 = 275,816/x
  3. Step 3: Cross multiply
    184,517x = 275,816 × 275,816
  4. Step 4: Simplify right side
    184,517x = 76,074,465,856
  5. Step 5: Solve for x
    x = 76,074,465,856/184,517
  6. Step 6: Final answer
    x = 412,289.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.