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Finding the Third Proportional to 182,824 and 276,180

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Solution

The third proportional to 182,824 and 276,180 is: 417,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,824 : 276,180 = 276,180 : x
  2. Step 2: Convert to fraction form
    182,824/276,180 = 276,180/x
  3. Step 3: Cross multiply
    182,824x = 276,180 × 276,180
  4. Step 4: Simplify right side
    182,824x = 76,275,392,400
  5. Step 5: Solve for x
    x = 76,275,392,400/182,824
  6. Step 6: Final answer
    x = 417,206.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.