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Finding the Third Proportional to 282.38 and 303.75

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Solution

The third proportional to 282.38 and 303.75 is: 326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.38 : 303.75 = 303.75 : x
  2. Step 2: Convert to fraction form
    282.38/303.75 = 303.75/x
  3. Step 3: Cross multiply
    282.38x = 303.75 × 303.75
  4. Step 4: Simplify right side
    282.38x = 92,264.06
  5. Step 5: Solve for x
    x = 92,264.06/282.38
  6. Step 6: Final answer
    x = 326.74

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.