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Finding the Third Proportional to 182,546 and 280,467

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Solution

The third proportional to 182,546 and 280,467 is: 430,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,546 : 280,467 = 280,467 : x
  2. Step 2: Convert to fraction form
    182,546/280,467 = 280,467/x
  3. Step 3: Cross multiply
    182,546x = 280,467 × 280,467
  4. Step 4: Simplify right side
    182,546x = 78,661,738,089
  5. Step 5: Solve for x
    x = 78,661,738,089/182,546
  6. Step 6: Final answer
    x = 430,914.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.