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Finding the Third Proportional to 174,582 and 222,183

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Solution

The third proportional to 174,582 and 222,183 is: 282,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,582 : 222,183 = 222,183 : x
  2. Step 2: Convert to fraction form
    174,582/222,183 = 222,183/x
  3. Step 3: Cross multiply
    174,582x = 222,183 × 222,183
  4. Step 4: Simplify right side
    174,582x = 49,365,285,489
  5. Step 5: Solve for x
    x = 49,365,285,489/174,582
  6. Step 6: Final answer
    x = 282,762.74

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.