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Finding the Third Proportional to 350.06 and 543.19

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Solution

The third proportional to 350.06 and 543.19 is: 842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.06 : 543.19 = 543.19 : x
  2. Step 2: Convert to fraction form
    350.06/543.19 = 543.19/x
  3. Step 3: Cross multiply
    350.06x = 543.19 × 543.19
  4. Step 4: Simplify right side
    350.06x = 295,052.66
  5. Step 5: Solve for x
    x = 295,052.66/350.06
  6. Step 6: Final answer
    x = 842.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.