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Finding the Third Proportional to 251.53 and 525.84

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Solution

The third proportional to 251.53 and 525.84 is: 1,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.53 : 525.84 = 525.84 : x
  2. Step 2: Convert to fraction form
    251.53/525.84 = 525.84/x
  3. Step 3: Cross multiply
    251.53x = 525.84 × 525.84
  4. Step 4: Simplify right side
    251.53x = 276,511.65
  5. Step 5: Solve for x
    x = 276,511.65/251.53
  6. Step 6: Final answer
    x = 1,099.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.