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Finding the Third Proportional to 138,274.88 and 301,578.75

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Solution

The third proportional to 138,274.88 and 301,578.75 is: 657,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,274.88 : 301,578.75 = 301,578.75 : x
  2. Step 2: Convert to fraction form
    138,274.88/301,578.75 = 301,578.75/x
  3. Step 3: Cross multiply
    138,274.88x = 301,578.75 × 301,578.75
  4. Step 4: Simplify right side
    138,274.88x = 90,949,742,451.56
  5. Step 5: Solve for x
    x = 90,949,742,451.56/138,274.88
  6. Step 6: Final answer
    x = 657,745.97

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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.