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Finding the Third Proportional to 299.50 and 322.75

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Solution

The third proportional to 299.50 and 322.75 is: 347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.50 : 322.75 = 322.75 : x
  2. Step 2: Convert to fraction form
    299.50/322.75 = 322.75/x
  3. Step 3: Cross multiply
    299.50x = 322.75 × 322.75
  4. Step 4: Simplify right side
    299.50x = 104,167.56
  5. Step 5: Solve for x
    x = 104,167.56/299.50
  6. Step 6: Final answer
    x = 347.80

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.