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Finding the Third Proportional to 182,604 and 274,338

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Solution

The third proportional to 182,604 and 274,338 is: 412,156.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,604 : 274,338 = 274,338 : x
  2. Step 2: Convert to fraction form
    182,604/274,338 = 274,338/x
  3. Step 3: Cross multiply
    182,604x = 274,338 × 274,338
  4. Step 4: Simplify right side
    182,604x = 75,261,338,244
  5. Step 5: Solve for x
    x = 75,261,338,244/182,604
  6. Step 6: Final answer
    x = 412,156.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.