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Finding the Third Proportional to 250.38 and 529.59

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Solution

The third proportional to 250.38 and 529.59 is: 1,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.38 : 529.59 = 529.59 : x
  2. Step 2: Convert to fraction form
    250.38/529.59 = 529.59/x
  3. Step 3: Cross multiply
    250.38x = 529.59 × 529.59
  4. Step 4: Simplify right side
    250.38x = 280,469.54
  5. Step 5: Solve for x
    x = 280,469.54/250.38
  6. Step 6: Final answer
    x = 1,120.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.