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Finding the Third Proportional to 181,048 and 274,582

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Solution

The third proportional to 181,048 and 274,582 is: 416,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,048 : 274,582 = 274,582 : x
  2. Step 2: Convert to fraction form
    181,048/274,582 = 274,582/x
  3. Step 3: Cross multiply
    181,048x = 274,582 × 274,582
  4. Step 4: Simplify right side
    181,048x = 75,395,274,724
  5. Step 5: Solve for x
    x = 75,395,274,724/181,048
  6. Step 6: Final answer
    x = 416,438.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.