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Finding the Third Proportional to 213.25 and 348.75

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Solution

The third proportional to 213.25 and 348.75 is: 570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.25 : 348.75 = 348.75 : x
  2. Step 2: Convert to fraction form
    213.25/348.75 = 348.75/x
  3. Step 3: Cross multiply
    213.25x = 348.75 × 348.75
  4. Step 4: Simplify right side
    213.25x = 121,626.56
  5. Step 5: Solve for x
    x = 121,626.56/213.25
  6. Step 6: Final answer
    x = 570.35

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.