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Finding the Third Proportional to 250 and 676

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Solution

The third proportional to 250 and 676 is: 1,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    250 : 676 = 676 : x
  2. Step 2: Convert to fraction form
    250/676 = 676/x
  3. Step 3: Cross multiply
    250x = 676 × 676
  4. Step 4: Simplify right side
    250x = 456,976
  5. Step 5: Solve for x
    x = 456,976/250
  6. Step 6: Final answer
    x = 1,827.90

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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.