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Finding the Third Proportional to 246.73 and 382.04

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Solution

The third proportional to 246.73 and 382.04 is: 591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.73 : 382.04 = 382.04 : x
  2. Step 2: Convert to fraction form
    246.73/382.04 = 382.04/x
  3. Step 3: Cross multiply
    246.73x = 382.04 × 382.04
  4. Step 4: Simplify right side
    246.73x = 145,956.83
  5. Step 5: Solve for x
    x = 145,956.83/246.73
  6. Step 6: Final answer
    x = 591.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.