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Finding the Third Proportional to 182,906 and 274,846

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Solution

The third proportional to 182,906 and 274,846 is: 413,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,906 : 274,846 = 274,846 : x
  2. Step 2: Convert to fraction form
    182,906/274,846 = 274,846/x
  3. Step 3: Cross multiply
    182,906x = 274,846 × 274,846
  4. Step 4: Simplify right side
    182,906x = 75,540,323,716
  5. Step 5: Solve for x
    x = 75,540,323,716/182,906
  6. Step 6: Final answer
    x = 413,000.80

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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.