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Finding the Third Proportional to 251,781.75 and 515,193.75

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Solution

The third proportional to 251,781.75 and 515,193.75 is: 1,054,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,781.75 : 515,193.75 = 515,193.75 : x
  2. Step 2: Convert to fraction form
    251,781.75/515,193.75 = 515,193.75/x
  3. Step 3: Cross multiply
    251,781.75x = 515,193.75 × 515,193.75
  4. Step 4: Simplify right side
    251,781.75x = 265,424,600,039.06
  5. Step 5: Solve for x
    x = 265,424,600,039.06/251,781.75
  6. Step 6: Final answer
    x = 1,054,185.22

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.