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Finding the Third Proportional to 182,749 and 274,124

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Solution

The third proportional to 182,749 and 274,124 is: 411,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,749 : 274,124 = 274,124 : x
  2. Step 2: Convert to fraction form
    182,749/274,124 = 274,124/x
  3. Step 3: Cross multiply
    182,749x = 274,124 × 274,124
  4. Step 4: Simplify right side
    182,749x = 75,143,967,376
  5. Step 5: Solve for x
    x = 75,143,967,376/182,749
  6. Step 6: Final answer
    x = 411,186.75

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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.