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Finding the Third Proportional to 269.86 and 351.84

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Solution

The third proportional to 269.86 and 351.84 is: 458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.86 : 351.84 = 351.84 : x
  2. Step 2: Convert to fraction form
    269.86/351.84 = 351.84/x
  3. Step 3: Cross multiply
    269.86x = 351.84 × 351.84
  4. Step 4: Simplify right side
    269.86x = 123,794.02
  5. Step 5: Solve for x
    x = 123,794.02/269.86
  6. Step 6: Final answer
    x = 458.74

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.