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Finding the Third Proportional to 299.50 and 349.50

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Solution

The third proportional to 299.50 and 349.50 is: 407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.50 : 349.50 = 349.50 : x
  2. Step 2: Convert to fraction form
    299.50/349.50 = 349.50/x
  3. Step 3: Cross multiply
    299.50x = 349.50 × 349.50
  4. Step 4: Simplify right side
    299.50x = 122,150.25
  5. Step 5: Solve for x
    x = 122,150.25/299.50
  6. Step 6: Final answer
    x = 407.85

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.