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Finding the Third Proportional to 246.88 and 350.88

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Solution

The third proportional to 246.88 and 350.88 is: 498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.88 : 350.88 = 350.88 : x
  2. Step 2: Convert to fraction form
    246.88/350.88 = 350.88/x
  3. Step 3: Cross multiply
    246.88x = 350.88 × 350.88
  4. Step 4: Simplify right side
    246.88x = 123,113.27
  5. Step 5: Solve for x
    x = 123,113.27/246.88
  6. Step 6: Final answer
    x = 498.69

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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.