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Finding the Third Proportional to 181.16 and 389.64

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Solution

The third proportional to 181.16 and 389.64 is: 838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.16 : 389.64 = 389.64 : x
  2. Step 2: Convert to fraction form
    181.16/389.64 = 389.64/x
  3. Step 3: Cross multiply
    181.16x = 389.64 × 389.64
  4. Step 4: Simplify right side
    181.16x = 151,816.77
  5. Step 5: Solve for x
    x = 151,816.77/181.16
  6. Step 6: Final answer
    x = 838.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.