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Finding the Third Proportional to 160,711 and 345,608

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Solution

The third proportional to 160,711 and 345,608 is: 743,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,711 : 345,608 = 345,608 : x
  2. Step 2: Convert to fraction form
    160,711/345,608 = 345,608/x
  3. Step 3: Cross multiply
    160,711x = 345,608 × 345,608
  4. Step 4: Simplify right side
    160,711x = 119,444,889,664
  5. Step 5: Solve for x
    x = 119,444,889,664/160,711
  6. Step 6: Final answer
    x = 743,227.84

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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.