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Finding the Third Proportional to 181,324 and 272,144

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Solution

The third proportional to 181,324 and 272,144 is: 408,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,324 : 272,144 = 272,144 : x
  2. Step 2: Convert to fraction form
    181,324/272,144 = 272,144/x
  3. Step 3: Cross multiply
    181,324x = 272,144 × 272,144
  4. Step 4: Simplify right side
    181,324x = 74,062,356,736
  5. Step 5: Solve for x
    x = 74,062,356,736/181,324
  6. Step 6: Final answer
    x = 408,453.14

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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.