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Finding the Third Proportional to 122,505.56 and 263,782.31

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Solution

The third proportional to 122,505.56 and 263,782.31 is: 567,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,505.56 : 263,782.31 = 263,782.31 : x
  2. Step 2: Convert to fraction form
    122,505.56/263,782.31 = 263,782.31/x
  3. Step 3: Cross multiply
    122,505.56x = 263,782.31 × 263,782.31
  4. Step 4: Simplify right side
    122,505.56x = 69,581,108,387.85
  5. Step 5: Solve for x
    x = 69,581,108,387.85/122,505.56
  6. Step 6: Final answer
    x = 567,983.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.