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Finding the Third Proportional to 164.44 and 345.56

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Solution

The third proportional to 164.44 and 345.56 is: 726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.44 : 345.56 = 345.56 : x
  2. Step 2: Convert to fraction form
    164.44/345.56 = 345.56/x
  3. Step 3: Cross multiply
    164.44x = 345.56 × 345.56
  4. Step 4: Simplify right side
    164.44x = 119,413.44
  5. Step 5: Solve for x
    x = 119,413.44/164.44
  6. Step 6: Final answer
    x = 726.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.