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Finding the Third Proportional to 181,050 and 274,584

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Solution

The third proportional to 181,050 and 274,584 is: 416,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,050 : 274,584 = 274,584 : x
  2. Step 2: Convert to fraction form
    181,050/274,584 = 274,584/x
  3. Step 3: Cross multiply
    181,050x = 274,584 × 274,584
  4. Step 4: Simplify right side
    181,050x = 75,396,373,056
  5. Step 5: Solve for x
    x = 75,396,373,056/181,050
  6. Step 6: Final answer
    x = 416,439.51

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Why These Related Problems?

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