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Finding the Third Proportional to 159,315.75 and 347,616

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Solution

The third proportional to 159,315.75 and 347,616 is: 758,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,315.75 : 347,616 = 347,616 : x
  2. Step 2: Convert to fraction form
    159,315.75/347,616 = 347,616/x
  3. Step 3: Cross multiply
    159,315.75x = 347,616 × 347,616
  4. Step 4: Simplify right side
    159,315.75x = 120,836,883,456
  5. Step 5: Solve for x
    x = 120,836,883,456/159,315.75
  6. Step 6: Final answer
    x = 758,474.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.