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Finding the Third Proportional to 199.25 and 319.75

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Solution

The third proportional to 199.25 and 319.75 is: 513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.25 : 319.75 = 319.75 : x
  2. Step 2: Convert to fraction form
    199.25/319.75 = 319.75/x
  3. Step 3: Cross multiply
    199.25x = 319.75 × 319.75
  4. Step 4: Simplify right side
    199.25x = 102,240.06
  5. Step 5: Solve for x
    x = 102,240.06/199.25
  6. Step 6: Final answer
    x = 513.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.