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Finding the Third Proportional to 146,049.75 and 313,912.13

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Solution

The third proportional to 146,049.75 and 313,912.13 is: 674,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,049.75 : 313,912.13 = 313,912.13 : x
  2. Step 2: Convert to fraction form
    146,049.75/313,912.13 = 313,912.13/x
  3. Step 3: Cross multiply
    146,049.75x = 313,912.13 × 313,912.13
  4. Step 4: Simplify right side
    146,049.75x = 98,540,822,222.02
  5. Step 5: Solve for x
    x = 98,540,822,222.02/146,049.75
  6. Step 6: Final answer
    x = 674,707.23

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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.