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Finding the Third Proportional to 329 and 641.50

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Solution

The third proportional to 329 and 641.50 is: 1,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    329 : 641.50 = 641.50 : x
  2. Step 2: Convert to fraction form
    329/641.50 = 641.50/x
  3. Step 3: Cross multiply
    329x = 641.50 × 641.50
  4. Step 4: Simplify right side
    329x = 411,522.25
  5. Step 5: Solve for x
    x = 411,522.25/329
  6. Step 6: Final answer
    x = 1,250.83

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.