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Finding the Third Proportional to 227,640 and 248,052

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Solution

The third proportional to 227,640 and 248,052 is: 270,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,640 : 248,052 = 248,052 : x
  2. Step 2: Convert to fraction form
    227,640/248,052 = 248,052/x
  3. Step 3: Cross multiply
    227,640x = 248,052 × 248,052
  4. Step 4: Simplify right side
    227,640x = 61,529,794,704
  5. Step 5: Solve for x
    x = 61,529,794,704/227,640
  6. Step 6: Final answer
    x = 270,294.30

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.