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Finding the Third Proportional to 269.53 and 433.83

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Solution

The third proportional to 269.53 and 433.83 is: 698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.53 : 433.83 = 433.83 : x
  2. Step 2: Convert to fraction form
    269.53/433.83 = 433.83/x
  3. Step 3: Cross multiply
    269.53x = 433.83 × 433.83
  4. Step 4: Simplify right side
    269.53x = 188,206.84
  5. Step 5: Solve for x
    x = 188,206.84/269.53
  6. Step 6: Final answer
    x = 698.27

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.