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Finding the Third Proportional to 139,974.75 and 301,817.25

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Solution

The third proportional to 139,974.75 and 301,817.25 is: 650,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,974.75 : 301,817.25 = 301,817.25 : x
  2. Step 2: Convert to fraction form
    139,974.75/301,817.25 = 301,817.25/x
  3. Step 3: Cross multiply
    139,974.75x = 301,817.25 × 301,817.25
  4. Step 4: Simplify right side
    139,974.75x = 91,093,652,397.56
  5. Step 5: Solve for x
    x = 91,093,652,397.56/139,974.75
  6. Step 6: Final answer
    x = 650,786.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.