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Finding the Third Proportional to 348.50 and 496

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Solution

The third proportional to 348.50 and 496 is: 705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.50 : 496 = 496 : x
  2. Step 2: Convert to fraction form
    348.50/496 = 496/x
  3. Step 3: Cross multiply
    348.50x = 496 × 496
  4. Step 4: Simplify right side
    348.50x = 246,016
  5. Step 5: Solve for x
    x = 246,016/348.50
  6. Step 6: Final answer
    x = 705.93

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.