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Finding the Third Proportional to 100,257.75 and 208,782.56

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Solution

The third proportional to 100,257.75 and 208,782.56 is: 434,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,257.75 : 208,782.56 = 208,782.56 : x
  2. Step 2: Convert to fraction form
    100,257.75/208,782.56 = 208,782.56/x
  3. Step 3: Cross multiply
    100,257.75x = 208,782.56 × 208,782.56
  4. Step 4: Simplify right side
    100,257.75x = 43,590,158,404.07
  5. Step 5: Solve for x
    x = 43,590,158,404.07/100,257.75
  6. Step 6: Final answer
    x = 434,780.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.