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Finding the Third Proportional to 182,004 and 275,552.25

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Solution

The third proportional to 182,004 and 275,552.25 is: 417,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,004 : 275,552.25 = 275,552.25 : x
  2. Step 2: Convert to fraction form
    182,004/275,552.25 = 275,552.25/x
  3. Step 3: Cross multiply
    182,004x = 275,552.25 × 275,552.25
  4. Step 4: Simplify right side
    182,004x = 75,929,042,480.06
  5. Step 5: Solve for x
    x = 75,929,042,480.06/182,004
  6. Step 6: Final answer
    x = 417,183.37

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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.