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Finding the Third Proportional to 182,982 and 274,913

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Solution

The third proportional to 182,982 and 274,913 is: 413,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,982 : 274,913 = 274,913 : x
  2. Step 2: Convert to fraction form
    182,982/274,913 = 274,913/x
  3. Step 3: Cross multiply
    182,982x = 274,913 × 274,913
  4. Step 4: Simplify right side
    182,982x = 75,577,157,569
  5. Step 5: Solve for x
    x = 75,577,157,569/182,982
  6. Step 6: Final answer
    x = 413,030.56

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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.