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Finding the Third Proportional to 220.78 and 463.78

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Solution

The third proportional to 220.78 and 463.78 is: 974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.78 : 463.78 = 463.78 : x
  2. Step 2: Convert to fraction form
    220.78/463.78 = 463.78/x
  3. Step 3: Cross multiply
    220.78x = 463.78 × 463.78
  4. Step 4: Simplify right side
    220.78x = 215,093.05
  5. Step 5: Solve for x
    x = 215,093.05/220.78
  6. Step 6: Final answer
    x = 974.24

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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.