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Finding the Third Proportional to 181,344 and 272,174

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Solution

The third proportional to 181,344 and 272,174 is: 408,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,344 : 272,174 = 272,174 : x
  2. Step 2: Convert to fraction form
    181,344/272,174 = 272,174/x
  3. Step 3: Cross multiply
    181,344x = 272,174 × 272,174
  4. Step 4: Simplify right side
    181,344x = 74,078,686,276
  5. Step 5: Solve for x
    x = 74,078,686,276/181,344
  6. Step 6: Final answer
    x = 408,498.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.