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Finding the Third Proportional to 138,278.25 and 301,584.75

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Solution

The third proportional to 138,278.25 and 301,584.75 is: 657,756.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,278.25 : 301,584.75 = 301,584.75 : x
  2. Step 2: Convert to fraction form
    138,278.25/301,584.75 = 301,584.75/x
  3. Step 3: Cross multiply
    138,278.25x = 301,584.75 × 301,584.75
  4. Step 4: Simplify right side
    138,278.25x = 90,953,361,432.56
  5. Step 5: Solve for x
    x = 90,953,361,432.56/138,278.25
  6. Step 6: Final answer
    x = 657,756.09

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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.