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Finding the Third Proportional to 137,559.75 and 324,207.38

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Solution

The third proportional to 137,559.75 and 324,207.38 is: 764,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,559.75 : 324,207.38 = 324,207.38 : x
  2. Step 2: Convert to fraction form
    137,559.75/324,207.38 = 324,207.38/x
  3. Step 3: Cross multiply
    137,559.75x = 324,207.38 × 324,207.38
  4. Step 4: Simplify right side
    137,559.75x = 105,110,422,004.39
  5. Step 5: Solve for x
    x = 105,110,422,004.39/137,559.75
  6. Step 6: Final answer
    x = 764,107.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.