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Finding the Third Proportional to 246.30 and 350.96

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Solution

The third proportional to 246.30 and 350.96 is: 500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.30 : 350.96 = 350.96 : x
  2. Step 2: Convert to fraction form
    246.30/350.96 = 350.96/x
  3. Step 3: Cross multiply
    246.30x = 350.96 × 350.96
  4. Step 4: Simplify right side
    246.30x = 123,176.32
  5. Step 5: Solve for x
    x = 123,176.32/246.30
  6. Step 6: Final answer
    x = 500.10

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Why These Related Problems?

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