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Finding the Third Proportional to 159,928 and 344,064

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Solution

The third proportional to 159,928 and 344,064 is: 740,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,928 : 344,064 = 344,064 : x
  2. Step 2: Convert to fraction form
    159,928/344,064 = 344,064/x
  3. Step 3: Cross multiply
    159,928x = 344,064 × 344,064
  4. Step 4: Simplify right side
    159,928x = 118,380,036,096
  5. Step 5: Solve for x
    x = 118,380,036,096/159,928
  6. Step 6: Final answer
    x = 740,208.32

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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.