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Finding the Third Proportional to 181,336 and 272,162

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Solution

The third proportional to 181,336 and 272,162 is: 408,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,336 : 272,162 = 272,162 : x
  2. Step 2: Convert to fraction form
    181,336/272,162 = 272,162/x
  3. Step 3: Cross multiply
    181,336x = 272,162 × 272,162
  4. Step 4: Simplify right side
    181,336x = 74,072,154,244
  5. Step 5: Solve for x
    x = 74,072,154,244/181,336
  6. Step 6: Final answer
    x = 408,480.14

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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.