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Finding the Third Proportional to 182,984 and 274,916

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Solution

The third proportional to 182,984 and 274,916 is: 413,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,984 : 274,916 = 274,916 : x
  2. Step 2: Convert to fraction form
    182,984/274,916 = 274,916/x
  3. Step 3: Cross multiply
    182,984x = 274,916 × 274,916
  4. Step 4: Simplify right side
    182,984x = 75,578,807,056
  5. Step 5: Solve for x
    x = 75,578,807,056/182,984
  6. Step 6: Final answer
    x = 413,035.06

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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.