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Finding the Third Proportional to 160,601 and 345,868

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Solution

The third proportional to 160,601 and 345,868 is: 744,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,601 : 345,868 = 345,868 : x
  2. Step 2: Convert to fraction form
    160,601/345,868 = 345,868/x
  3. Step 3: Cross multiply
    160,601x = 345,868 × 345,868
  4. Step 4: Simplify right side
    160,601x = 119,624,673,424
  5. Step 5: Solve for x
    x = 119,624,673,424/160,601
  6. Step 6: Final answer
    x = 744,856.34

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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.