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Finding the Third Proportional to 251.23 and 525.13

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Solution

The third proportional to 251.23 and 525.13 is: 1,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.23 : 525.13 = 525.13 : x
  2. Step 2: Convert to fraction form
    251.23/525.13 = 525.13/x
  3. Step 3: Cross multiply
    251.23x = 525.13 × 525.13
  4. Step 4: Simplify right side
    251.23x = 275,760.37
  5. Step 5: Solve for x
    x = 275,760.37/251.23
  6. Step 6: Final answer
    x = 1,097.66

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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.