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Finding the Third Proportional to 224,256 and 373,744

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Solution

The third proportional to 224,256 and 373,744 is: 622,880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,256 : 373,744 = 373,744 : x
  2. Step 2: Convert to fraction form
    224,256/373,744 = 373,744/x
  3. Step 3: Cross multiply
    224,256x = 373,744 × 373,744
  4. Step 4: Simplify right side
    224,256x = 139,684,577,536
  5. Step 5: Solve for x
    x = 139,684,577,536/224,256
  6. Step 6: Final answer
    x = 622,880.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.