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Finding the Third Proportional to 246.42 and 485.95

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Solution

The third proportional to 246.42 and 485.95 is: 958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.42 : 485.95 = 485.95 : x
  2. Step 2: Convert to fraction form
    246.42/485.95 = 485.95/x
  3. Step 3: Cross multiply
    246.42x = 485.95 × 485.95
  4. Step 4: Simplify right side
    246.42x = 236,150.44
  5. Step 5: Solve for x
    x = 236,150.44/246.42
  6. Step 6: Final answer
    x = 958.32

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.