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Finding the Third Proportional to 340 and 375.50

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Solution

The third proportional to 340 and 375.50 is: 414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340 : 375.50 = 375.50 : x
  2. Step 2: Convert to fraction form
    340/375.50 = 375.50/x
  3. Step 3: Cross multiply
    340x = 375.50 × 375.50
  4. Step 4: Simplify right side
    340x = 141,000.25
  5. Step 5: Solve for x
    x = 141,000.25/340
  6. Step 6: Final answer
    x = 414.71

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.