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Finding the Third Proportional to 137,735.44 and 301,213.69

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Solution

The third proportional to 137,735.44 and 301,213.69 is: 658,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,735.44 : 301,213.69 = 301,213.69 : x
  2. Step 2: Convert to fraction form
    137,735.44/301,213.69 = 301,213.69/x
  3. Step 3: Cross multiply
    137,735.44x = 301,213.69 × 301,213.69
  4. Step 4: Simplify right side
    137,735.44x = 90,729,685,537.35
  5. Step 5: Solve for x
    x = 90,729,685,537.35/137,735.44
  6. Step 6: Final answer
    x = 658,724.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.