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Finding the Third Proportional to 144,378.75 and 347,825.25

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Solution

The third proportional to 144,378.75 and 347,825.25 is: 837,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,378.75 : 347,825.25 = 347,825.25 : x
  2. Step 2: Convert to fraction form
    144,378.75/347,825.25 = 347,825.25/x
  3. Step 3: Cross multiply
    144,378.75x = 347,825.25 × 347,825.25
  4. Step 4: Simplify right side
    144,378.75x = 120,982,404,537.56
  5. Step 5: Solve for x
    x = 120,982,404,537.56/144,378.75
  6. Step 6: Final answer
    x = 837,951.60

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.