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Finding the Third Proportional to 220.22 and 463.22

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Solution

The third proportional to 220.22 and 463.22 is: 974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.22 : 463.22 = 463.22 : x
  2. Step 2: Convert to fraction form
    220.22/463.22 = 463.22/x
  3. Step 3: Cross multiply
    220.22x = 463.22 × 463.22
  4. Step 4: Simplify right side
    220.22x = 214,571.61
  5. Step 5: Solve for x
    x = 214,571.61/220.22
  6. Step 6: Final answer
    x = 974.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.