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Finding the Third Proportional to 309.25 and 757.50

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Solution

The third proportional to 309.25 and 757.50 is: 1,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.25 : 757.50 = 757.50 : x
  2. Step 2: Convert to fraction form
    309.25/757.50 = 757.50/x
  3. Step 3: Cross multiply
    309.25x = 757.50 × 757.50
  4. Step 4: Simplify right side
    309.25x = 573,806.25
  5. Step 5: Solve for x
    x = 573,806.25/309.25
  6. Step 6: Final answer
    x = 1,855.48

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.