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Finding the Third Proportional to 265.57 and 382.43

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Solution

The third proportional to 265.57 and 382.43 is: 550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.57 : 382.43 = 382.43 : x
  2. Step 2: Convert to fraction form
    265.57/382.43 = 382.43/x
  3. Step 3: Cross multiply
    265.57x = 382.43 × 382.43
  4. Step 4: Simplify right side
    265.57x = 146,252.47
  5. Step 5: Solve for x
    x = 146,252.47/265.57
  6. Step 6: Final answer
    x = 550.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.