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Finding the Third Proportional to 182,816 and 276,168

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Solution

The third proportional to 182,816 and 276,168 is: 417,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,816 : 276,168 = 276,168 : x
  2. Step 2: Convert to fraction form
    182,816/276,168 = 276,168/x
  3. Step 3: Cross multiply
    182,816x = 276,168 × 276,168
  4. Step 4: Simplify right side
    182,816x = 76,268,764,224
  5. Step 5: Solve for x
    x = 76,268,764,224/182,816
  6. Step 6: Final answer
    x = 417,188.67

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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.