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Finding the Third Proportional to 250.03 and 512.44

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Solution

The third proportional to 250.03 and 512.44 is: 1,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.03 : 512.44 = 512.44 : x
  2. Step 2: Convert to fraction form
    250.03/512.44 = 512.44/x
  3. Step 3: Cross multiply
    250.03x = 512.44 × 512.44
  4. Step 4: Simplify right side
    250.03x = 262,592.19
  5. Step 5: Solve for x
    x = 262,592.19/250.03
  6. Step 6: Final answer
    x = 1,050.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.