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Finding the Third Proportional to 212.69 and 467.16

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Solution

The third proportional to 212.69 and 467.16 is: 1,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.69 : 467.16 = 467.16 : x
  2. Step 2: Convert to fraction form
    212.69/467.16 = 467.16/x
  3. Step 3: Cross multiply
    212.69x = 467.16 × 467.16
  4. Step 4: Simplify right side
    212.69x = 218,234.96
  5. Step 5: Solve for x
    x = 218,234.96/212.69
  6. Step 6: Final answer
    x = 1,026.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.