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Finding the Third Proportional to 181.03 and 300.75

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Solution

The third proportional to 181.03 and 300.75 is: 499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.03 : 300.75 = 300.75 : x
  2. Step 2: Convert to fraction form
    181.03/300.75 = 300.75/x
  3. Step 3: Cross multiply
    181.03x = 300.75 × 300.75
  4. Step 4: Simplify right side
    181.03x = 90,450.56
  5. Step 5: Solve for x
    x = 90,450.56/181.03
  6. Step 6: Final answer
    x = 499.64

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.