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Finding the Third Proportional to 114,223 and 263,255

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Solution

The third proportional to 114,223 and 263,255 is: 606,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,223 : 263,255 = 263,255 : x
  2. Step 2: Convert to fraction form
    114,223/263,255 = 263,255/x
  3. Step 3: Cross multiply
    114,223x = 263,255 × 263,255
  4. Step 4: Simplify right side
    114,223x = 69,303,195,025
  5. Step 5: Solve for x
    x = 69,303,195,025/114,223
  6. Step 6: Final answer
    x = 606,735.90

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.