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Finding the Third Proportional to 282.09 and 405.84

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Solution

The third proportional to 282.09 and 405.84 is: 583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.09 : 405.84 = 405.84 : x
  2. Step 2: Convert to fraction form
    282.09/405.84 = 405.84/x
  3. Step 3: Cross multiply
    282.09x = 405.84 × 405.84
  4. Step 4: Simplify right side
    282.09x = 164,709.15
  5. Step 5: Solve for x
    x = 164,709.15/282.09
  6. Step 6: Final answer
    x = 583.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.