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Finding the Third Proportional to 268.50 and 375.94

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Solution

The third proportional to 268.50 and 375.94 is: 526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.50 : 375.94 = 375.94 : x
  2. Step 2: Convert to fraction form
    268.50/375.94 = 375.94/x
  3. Step 3: Cross multiply
    268.50x = 375.94 × 375.94
  4. Step 4: Simplify right side
    268.50x = 141,329.00
  5. Step 5: Solve for x
    x = 141,329.00/268.50
  6. Step 6: Final answer
    x = 526.37

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.