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Finding the Third Proportional to 217.25 and 463.34

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Solution

The third proportional to 217.25 and 463.34 is: 988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.25 : 463.34 = 463.34 : x
  2. Step 2: Convert to fraction form
    217.25/463.34 = 463.34/x
  3. Step 3: Cross multiply
    217.25x = 463.34 × 463.34
  4. Step 4: Simplify right side
    217.25x = 214,681.55
  5. Step 5: Solve for x
    x = 214,681.55/217.25
  6. Step 6: Final answer
    x = 988.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.