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Finding the Third Proportional to 138,415.88 and 301,845.75

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Solution

The third proportional to 138,415.88 and 301,845.75 is: 658,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,415.88 : 301,845.75 = 301,845.75 : x
  2. Step 2: Convert to fraction form
    138,415.88/301,845.75 = 301,845.75/x
  3. Step 3: Cross multiply
    138,415.88x = 301,845.75 × 301,845.75
  4. Step 4: Simplify right side
    138,415.88x = 91,110,856,793.06
  5. Step 5: Solve for x
    x = 91,110,856,793.06/138,415.88
  6. Step 6: Final answer
    x = 658,239.94

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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.