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Finding the Third Proportional to 208,048 and 308,183

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Solution

The third proportional to 208,048 and 308,183 is: 456,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,048 : 308,183 = 308,183 : x
  2. Step 2: Convert to fraction form
    208,048/308,183 = 308,183/x
  3. Step 3: Cross multiply
    208,048x = 308,183 × 308,183
  4. Step 4: Simplify right side
    208,048x = 94,976,761,489
  5. Step 5: Solve for x
    x = 94,976,761,489/208,048
  6. Step 6: Final answer
    x = 456,513.70

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Why These Related Problems?

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