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Finding the Third Proportional to 282.75 and 423.56

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Solution

The third proportional to 282.75 and 423.56 is: 634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.75 : 423.56 = 423.56 : x
  2. Step 2: Convert to fraction form
    282.75/423.56 = 423.56/x
  3. Step 3: Cross multiply
    282.75x = 423.56 × 423.56
  4. Step 4: Simplify right side
    282.75x = 179,405.19
  5. Step 5: Solve for x
    x = 179,405.19/282.75
  6. Step 6: Final answer
    x = 634.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.