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Finding the Third Proportional to 282.19 and 384.38

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Solution

The third proportional to 282.19 and 384.38 is: 523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.19 : 384.38 = 384.38 : x
  2. Step 2: Convert to fraction form
    282.19/384.38 = 384.38/x
  3. Step 3: Cross multiply
    282.19x = 384.38 × 384.38
  4. Step 4: Simplify right side
    282.19x = 147,744.14
  5. Step 5: Solve for x
    x = 147,744.14/282.19
  6. Step 6: Final answer
    x = 523.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.