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Finding the Third Proportional to 282.25 and 451.88

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Solution

The third proportional to 282.25 and 451.88 is: 723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.25 : 451.88 = 451.88 : x
  2. Step 2: Convert to fraction form
    282.25/451.88 = 451.88/x
  3. Step 3: Cross multiply
    282.25x = 451.88 × 451.88
  4. Step 4: Simplify right side
    282.25x = 204,191.02
  5. Step 5: Solve for x
    x = 204,191.02/282.25
  6. Step 6: Final answer
    x = 723.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.