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Finding the Third Proportional to 160,224 and 339,936

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Solution

The third proportional to 160,224 and 339,936 is: 721,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,224 : 339,936 = 339,936 : x
  2. Step 2: Convert to fraction form
    160,224/339,936 = 339,936/x
  3. Step 3: Cross multiply
    160,224x = 339,936 × 339,936
  4. Step 4: Simplify right side
    160,224x = 115,556,484,096
  5. Step 5: Solve for x
    x = 115,556,484,096/160,224
  6. Step 6: Final answer
    x = 721,218.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.