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Finding the Third Proportional to 182,326 and 275,923

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Solution

The third proportional to 182,326 and 275,923 is: 417,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,326 : 275,923 = 275,923 : x
  2. Step 2: Convert to fraction form
    182,326/275,923 = 275,923/x
  3. Step 3: Cross multiply
    182,326x = 275,923 × 275,923
  4. Step 4: Simplify right side
    182,326x = 76,133,501,929
  5. Step 5: Solve for x
    x = 76,133,501,929/182,326
  6. Step 6: Final answer
    x = 417,567.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.