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Finding the Third Proportional to 181,391.91 and 384,405.12

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Solution

The third proportional to 181,391.91 and 384,405.12 is: 814,630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,391.91 : 384,405.12 = 384,405.12 : x
  2. Step 2: Convert to fraction form
    181,391.91/384,405.12 = 384,405.12/x
  3. Step 3: Cross multiply
    181,391.91x = 384,405.12 × 384,405.12
  4. Step 4: Simplify right side
    181,391.91x = 147,767,294,119.94
  5. Step 5: Solve for x
    x = 147,767,294,119.94/181,391.91
  6. Step 6: Final answer
    x = 814,630.03

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.