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Finding the Third Proportional to 181,040 and 274,476

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Solution

The third proportional to 181,040 and 274,476 is: 416,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,040 : 274,476 = 274,476 : x
  2. Step 2: Convert to fraction form
    181,040/274,476 = 274,476/x
  3. Step 3: Cross multiply
    181,040x = 274,476 × 274,476
  4. Step 4: Simplify right side
    181,040x = 75,337,074,576
  5. Step 5: Solve for x
    x = 75,337,074,576/181,040
  6. Step 6: Final answer
    x = 416,134.97

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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.