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Finding the Third Proportional to 181,044 and 274,576

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Solution

The third proportional to 181,044 and 274,576 is: 416,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,044 : 274,576 = 274,576 : x
  2. Step 2: Convert to fraction form
    181,044/274,576 = 274,576/x
  3. Step 3: Cross multiply
    181,044x = 274,576 × 274,576
  4. Step 4: Simplify right side
    181,044x = 75,391,979,776
  5. Step 5: Solve for x
    x = 75,391,979,776/181,044
  6. Step 6: Final answer
    x = 416,429.04

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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.