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Finding the Third Proportional to 181.50 and 326

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Solution

The third proportional to 181.50 and 326 is: 585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.50 : 326 = 326 : x
  2. Step 2: Convert to fraction form
    181.50/326 = 326/x
  3. Step 3: Cross multiply
    181.50x = 326 × 326
  4. Step 4: Simplify right side
    181.50x = 106,276
  5. Step 5: Solve for x
    x = 106,276/181.50
  6. Step 6: Final answer
    x = 585.54

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.