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Finding the Third Proportional to 182,004 and 275,551

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Solution

The third proportional to 182,004 and 275,551 is: 417,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,004 : 275,551 = 275,551 : x
  2. Step 2: Convert to fraction form
    182,004/275,551 = 275,551/x
  3. Step 3: Cross multiply
    182,004x = 275,551 × 275,551
  4. Step 4: Simplify right side
    182,004x = 75,928,353,601
  5. Step 5: Solve for x
    x = 75,928,353,601/182,004
  6. Step 6: Final answer
    x = 417,179.59

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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.