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Finding the Third Proportional to 161,144 and 347,912

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Solution

The third proportional to 161,144 and 347,912 is: 751,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,144 : 347,912 = 347,912 : x
  2. Step 2: Convert to fraction form
    161,144/347,912 = 347,912/x
  3. Step 3: Cross multiply
    161,144x = 347,912 × 347,912
  4. Step 4: Simplify right side
    161,144x = 121,042,759,744
  5. Step 5: Solve for x
    x = 121,042,759,744/161,144
  6. Step 6: Final answer
    x = 751,146.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.