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Finding the Third Proportional to 181,208 and 276,546

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Solution

The third proportional to 181,208 and 276,546 is: 422,043.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,208 : 276,546 = 276,546 : x
  2. Step 2: Convert to fraction form
    181,208/276,546 = 276,546/x
  3. Step 3: Cross multiply
    181,208x = 276,546 × 276,546
  4. Step 4: Simplify right side
    181,208x = 76,477,690,116
  5. Step 5: Solve for x
    x = 76,477,690,116/181,208
  6. Step 6: Final answer
    x = 422,043.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.