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Finding the Third Proportional to 179,638 and 276,946

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Solution

The third proportional to 179,638 and 276,946 is: 426,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,638 : 276,946 = 276,946 : x
  2. Step 2: Convert to fraction form
    179,638/276,946 = 276,946/x
  3. Step 3: Cross multiply
    179,638x = 276,946 × 276,946
  4. Step 4: Simplify right side
    179,638x = 76,699,086,916
  5. Step 5: Solve for x
    x = 76,699,086,916/179,638
  6. Step 6: Final answer
    x = 426,964.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.