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Finding the Third Proportional to 213.75 and 400.88

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Solution

The third proportional to 213.75 and 400.88 is: 751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.75 : 400.88 = 400.88 : x
  2. Step 2: Convert to fraction form
    213.75/400.88 = 400.88/x
  3. Step 3: Cross multiply
    213.75x = 400.88 × 400.88
  4. Step 4: Simplify right side
    213.75x = 160,700.77
  5. Step 5: Solve for x
    x = 160,700.77/213.75
  6. Step 6: Final answer
    x = 751.82

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.