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Finding the Third Proportional to 181,326 and 272,147

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Solution

The third proportional to 181,326 and 272,147 is: 408,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,326 : 272,147 = 272,147 : x
  2. Step 2: Convert to fraction form
    181,326/272,147 = 272,147/x
  3. Step 3: Cross multiply
    181,326x = 272,147 × 272,147
  4. Step 4: Simplify right side
    181,326x = 74,063,989,609
  5. Step 5: Solve for x
    x = 74,063,989,609/181,326
  6. Step 6: Final answer
    x = 408,457.64

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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.