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Finding the Third Proportional to 161,144 and 345,608

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Solution

The third proportional to 161,144 and 345,608 is: 741,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,144 : 345,608 = 345,608 : x
  2. Step 2: Convert to fraction form
    161,144/345,608 = 345,608/x
  3. Step 3: Cross multiply
    161,144x = 345,608 × 345,608
  4. Step 4: Simplify right side
    161,144x = 119,444,889,664
  5. Step 5: Solve for x
    x = 119,444,889,664/161,144
  6. Step 6: Final answer
    x = 741,230.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.