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Finding the Third Proportional to 160,600.50 and 333,945

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Solution

The third proportional to 160,600.50 and 333,945 is: 694,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,600.50 : 333,945 = 333,945 : x
  2. Step 2: Convert to fraction form
    160,600.50/333,945 = 333,945/x
  3. Step 3: Cross multiply
    160,600.50x = 333,945 × 333,945
  4. Step 4: Simplify right side
    160,600.50x = 111,519,263,025
  5. Step 5: Solve for x
    x = 111,519,263,025/160,600.50
  6. Step 6: Final answer
    x = 694,389.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.