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Finding the Third Proportional to 286.88 and 445.31

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Solution

The third proportional to 286.88 and 445.31 is: 691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.88 : 445.31 = 445.31 : x
  2. Step 2: Convert to fraction form
    286.88/445.31 = 445.31/x
  3. Step 3: Cross multiply
    286.88x = 445.31 × 445.31
  4. Step 4: Simplify right side
    286.88x = 198,303.22
  5. Step 5: Solve for x
    x = 198,303.22/286.88
  6. Step 6: Final answer
    x = 691.25

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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.