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Finding the Third Proportional to 517.50 and 1,138.50

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Solution

The third proportional to 517.50 and 1,138.50 is: 2,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.50 : 1,138.50 = 1,138.50 : x
  2. Step 2: Convert to fraction form
    517.50/1,138.50 = 1,138.50/x
  3. Step 3: Cross multiply
    517.50x = 1,138.50 × 1,138.50
  4. Step 4: Simplify right side
    517.50x = 1,296,182.25
  5. Step 5: Solve for x
    x = 1,296,182.25/517.50
  6. Step 6: Final answer
    x = 2,504.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.