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Finding the Third Proportional to 114,505 and 252,256

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Solution

The third proportional to 114,505 and 252,256 is: 555,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,505 : 252,256 = 252,256 : x
  2. Step 2: Convert to fraction form
    114,505/252,256 = 252,256/x
  3. Step 3: Cross multiply
    114,505x = 252,256 × 252,256
  4. Step 4: Simplify right side
    114,505x = 63,633,089,536
  5. Step 5: Solve for x
    x = 63,633,089,536/114,505
  6. Step 6: Final answer
    x = 555,723.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.