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Finding the Third Proportional to 212.25 and 431.25

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Solution

The third proportional to 212.25 and 431.25 is: 876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.25 : 431.25 = 431.25 : x
  2. Step 2: Convert to fraction form
    212.25/431.25 = 431.25/x
  3. Step 3: Cross multiply
    212.25x = 431.25 × 431.25
  4. Step 4: Simplify right side
    212.25x = 185,976.56
  5. Step 5: Solve for x
    x = 185,976.56/212.25
  6. Step 6: Final answer
    x = 876.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.