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Finding the Third Proportional to 227,608 and 351,678

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Solution

The third proportional to 227,608 and 351,678 is: 543,379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,608 : 351,678 = 351,678 : x
  2. Step 2: Convert to fraction form
    227,608/351,678 = 351,678/x
  3. Step 3: Cross multiply
    227,608x = 351,678 × 351,678
  4. Step 4: Simplify right side
    227,608x = 123,677,415,684
  5. Step 5: Solve for x
    x = 123,677,415,684/227,608
  6. Step 6: Final answer
    x = 543,379.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.