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Finding the Third Proportional to 182,907 and 274,848

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Solution

The third proportional to 182,907 and 274,848 is: 413,004.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,907 : 274,848 = 274,848 : x
  2. Step 2: Convert to fraction form
    182,907/274,848 = 274,848/x
  3. Step 3: Cross multiply
    182,907x = 274,848 × 274,848
  4. Step 4: Simplify right side
    182,907x = 75,541,423,104
  5. Step 5: Solve for x
    x = 75,541,423,104/182,907
  6. Step 6: Final answer
    x = 413,004.55

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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.