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Finding the Third Proportional to 130,512.09 and 284,993.44

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Solution

The third proportional to 130,512.09 and 284,993.44 is: 622,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,512.09 : 284,993.44 = 284,993.44 : x
  2. Step 2: Convert to fraction form
    130,512.09/284,993.44 = 284,993.44/x
  3. Step 3: Cross multiply
    130,512.09x = 284,993.44 × 284,993.44
  4. Step 4: Simplify right side
    130,512.09x = 81,221,259,418.07
  5. Step 5: Solve for x
    x = 81,221,259,418.07/130,512.09
  6. Step 6: Final answer
    x = 622,327.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.