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Finding the Third Proportional to 251.81 and 405.56

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Solution

The third proportional to 251.81 and 405.56 is: 653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.81 : 405.56 = 405.56 : x
  2. Step 2: Convert to fraction form
    251.81/405.56 = 405.56/x
  3. Step 3: Cross multiply
    251.81x = 405.56 × 405.56
  4. Step 4: Simplify right side
    251.81x = 164,480.94
  5. Step 5: Solve for x
    x = 164,480.94/251.81
  6. Step 6: Final answer
    x = 653.19

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.