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Finding the Third Proportional to 88.94 and 206.84

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Solution

The third proportional to 88.94 and 206.84 is: 481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.94 : 206.84 = 206.84 : x
  2. Step 2: Convert to fraction form
    88.94/206.84 = 206.84/x
  3. Step 3: Cross multiply
    88.94x = 206.84 × 206.84
  4. Step 4: Simplify right side
    88.94x = 42,784.34
  5. Step 5: Solve for x
    x = 42,784.34/88.94
  6. Step 6: Final answer
    x = 481.06

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.