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Finding the Third Proportional to 144,942.75 and 325,512

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Solution

The third proportional to 144,942.75 and 325,512 is: 731,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,942.75 : 325,512 = 325,512 : x
  2. Step 2: Convert to fraction form
    144,942.75/325,512 = 325,512/x
  3. Step 3: Cross multiply
    144,942.75x = 325,512 × 325,512
  4. Step 4: Simplify right side
    144,942.75x = 105,958,062,144
  5. Step 5: Solve for x
    x = 105,958,062,144/144,942.75
  6. Step 6: Final answer
    x = 731,033.89

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.