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Finding the Third Proportional to 227,568 and 361,728

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Solution

The third proportional to 227,568 and 361,728 is: 574,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,568 : 361,728 = 361,728 : x
  2. Step 2: Convert to fraction form
    227,568/361,728 = 361,728/x
  3. Step 3: Cross multiply
    227,568x = 361,728 × 361,728
  4. Step 4: Simplify right side
    227,568x = 130,847,145,984
  5. Step 5: Solve for x
    x = 130,847,145,984/227,568
  6. Step 6: Final answer
    x = 574,980.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.