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Finding the Third Proportional to 146,163.75 and 320,256.75

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Solution

The third proportional to 146,163.75 and 320,256.75 is: 701,708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,163.75 : 320,256.75 = 320,256.75 : x
  2. Step 2: Convert to fraction form
    146,163.75/320,256.75 = 320,256.75/x
  3. Step 3: Cross multiply
    146,163.75x = 320,256.75 × 320,256.75
  4. Step 4: Simplify right side
    146,163.75x = 102,564,385,920.56
  5. Step 5: Solve for x
    x = 102,564,385,920.56/146,163.75
  6. Step 6: Final answer
    x = 701,708.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.