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Finding the Third Proportional to 185,816 and 274,350

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Solution

The third proportional to 185,816 and 274,350 is: 405,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,816 : 274,350 = 274,350 : x
  2. Step 2: Convert to fraction form
    185,816/274,350 = 274,350/x
  3. Step 3: Cross multiply
    185,816x = 274,350 × 274,350
  4. Step 4: Simplify right side
    185,816x = 75,267,922,500
  5. Step 5: Solve for x
    x = 75,267,922,500/185,816
  6. Step 6: Final answer
    x = 405,066.96

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.