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Finding the Third Proportional to 159,846.75 and 349,793.44

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Solution

The third proportional to 159,846.75 and 349,793.44 is: 765,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,846.75 : 349,793.44 = 349,793.44 : x
  2. Step 2: Convert to fraction form
    159,846.75/349,793.44 = 349,793.44/x
  3. Step 3: Cross multiply
    159,846.75x = 349,793.44 × 349,793.44
  4. Step 4: Simplify right side
    159,846.75x = 122,355,448,918.07
  5. Step 5: Solve for x
    x = 122,355,448,918.07/159,846.75
  6. Step 6: Final answer
    x = 765,454.72

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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.