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Finding the Third Proportional to 217.63 and 466.94

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Solution

The third proportional to 217.63 and 466.94 is: 1,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.63 : 466.94 = 466.94 : x
  2. Step 2: Convert to fraction form
    217.63/466.94 = 466.94/x
  3. Step 3: Cross multiply
    217.63x = 466.94 × 466.94
  4. Step 4: Simplify right side
    217.63x = 218,030.63
  5. Step 5: Solve for x
    x = 218,030.63/217.63
  6. Step 6: Final answer
    x = 1,001.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.