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Finding the Third Proportional to 182,606 and 274,341

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Solution

The third proportional to 182,606 and 274,341 is: 412,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,606 : 274,341 = 274,341 : x
  2. Step 2: Convert to fraction form
    182,606/274,341 = 274,341/x
  3. Step 3: Cross multiply
    182,606x = 274,341 × 274,341
  4. Step 4: Simplify right side
    182,606x = 75,262,984,281
  5. Step 5: Solve for x
    x = 75,262,984,281/182,606
  6. Step 6: Final answer
    x = 412,160.52

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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.