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Finding the Third Proportional to 137,584.50 and 295,507.50

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Solution

The third proportional to 137,584.50 and 295,507.50 is: 634,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,584.50 : 295,507.50 = 295,507.50 : x
  2. Step 2: Convert to fraction form
    137,584.50/295,507.50 = 295,507.50/x
  3. Step 3: Cross multiply
    137,584.50x = 295,507.50 × 295,507.50
  4. Step 4: Simplify right side
    137,584.50x = 87,324,682,556.25
  5. Step 5: Solve for x
    x = 87,324,682,556.25/137,584.50
  6. Step 6: Final answer
    x = 634,698.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.