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Finding the Third Proportional to 175.43 and 382.92

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Solution

The third proportional to 175.43 and 382.92 is: 835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.43 : 382.92 = 382.92 : x
  2. Step 2: Convert to fraction form
    175.43/382.92 = 382.92/x
  3. Step 3: Cross multiply
    175.43x = 382.92 × 382.92
  4. Step 4: Simplify right side
    175.43x = 146,629.16
  5. Step 5: Solve for x
    x = 146,629.16/175.43
  6. Step 6: Final answer
    x = 835.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.