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Finding the Third Proportional to 212.81 and 455.81

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Solution

The third proportional to 212.81 and 455.81 is: 976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.81 : 455.81 = 455.81 : x
  2. Step 2: Convert to fraction form
    212.81/455.81 = 455.81/x
  3. Step 3: Cross multiply
    212.81x = 455.81 × 455.81
  4. Step 4: Simplify right side
    212.81x = 207,765.04
  5. Step 5: Solve for x
    x = 207,765.04/212.81
  6. Step 6: Final answer
    x = 976.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.