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Finding the Third Proportional to 282.50 and 475.25

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Solution

The third proportional to 282.50 and 475.25 is: 799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.50 : 475.25 = 475.25 : x
  2. Step 2: Convert to fraction form
    282.50/475.25 = 475.25/x
  3. Step 3: Cross multiply
    282.50x = 475.25 × 475.25
  4. Step 4: Simplify right side
    282.50x = 225,862.56
  5. Step 5: Solve for x
    x = 225,862.56/282.50
  6. Step 6: Final answer
    x = 799.51

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.