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Finding the Third Proportional to 195.19 and 333

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Solution

The third proportional to 195.19 and 333 is: 568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.19 : 333 = 333 : x
  2. Step 2: Convert to fraction form
    195.19/333 = 333/x
  3. Step 3: Cross multiply
    195.19x = 333 × 333
  4. Step 4: Simplify right side
    195.19x = 110,889
  5. Step 5: Solve for x
    x = 110,889/195.19
  6. Step 6: Final answer
    x = 568.12

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.