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Finding the Third Proportional to 102.75 and 221.63

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Solution

The third proportional to 102.75 and 221.63 is: 478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.75 : 221.63 = 221.63 : x
  2. Step 2: Convert to fraction form
    102.75/221.63 = 221.63/x
  3. Step 3: Cross multiply
    102.75x = 221.63 × 221.63
  4. Step 4: Simplify right side
    102.75x = 49,117.64
  5. Step 5: Solve for x
    x = 49,117.64/102.75
  6. Step 6: Final answer
    x = 478.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.