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Finding the Third Proportional to 84.50 and 219.25

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Solution

The third proportional to 84.50 and 219.25 is: 568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.50 : 219.25 = 219.25 : x
  2. Step 2: Convert to fraction form
    84.50/219.25 = 219.25/x
  3. Step 3: Cross multiply
    84.50x = 219.25 × 219.25
  4. Step 4: Simplify right side
    84.50x = 48,070.56
  5. Step 5: Solve for x
    x = 48,070.56/84.50
  6. Step 6: Final answer
    x = 568.88

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.