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Finding the Third Proportional to 318.78 and 512.26

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Solution

The third proportional to 318.78 and 512.26 is: 823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.78 : 512.26 = 512.26 : x
  2. Step 2: Convert to fraction form
    318.78/512.26 = 512.26/x
  3. Step 3: Cross multiply
    318.78x = 512.26 × 512.26
  4. Step 4: Simplify right side
    318.78x = 262,412.07
  5. Step 5: Solve for x
    x = 262,412.07/318.78
  6. Step 6: Final answer
    x = 823.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.