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Finding the Third Proportional to 181,944 and 267,714

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Solution

The third proportional to 181,944 and 267,714 is: 393,916.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,944 : 267,714 = 267,714 : x
  2. Step 2: Convert to fraction form
    181,944/267,714 = 267,714/x
  3. Step 3: Cross multiply
    181,944x = 267,714 × 267,714
  4. Step 4: Simplify right side
    181,944x = 71,670,785,796
  5. Step 5: Solve for x
    x = 71,670,785,796/181,944
  6. Step 6: Final answer
    x = 393,916.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.