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Finding the Third Proportional to 307.25 and 398.75

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Solution

The third proportional to 307.25 and 398.75 is: 517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.25 : 398.75 = 398.75 : x
  2. Step 2: Convert to fraction form
    307.25/398.75 = 398.75/x
  3. Step 3: Cross multiply
    307.25x = 398.75 × 398.75
  4. Step 4: Simplify right side
    307.25x = 159,001.56
  5. Step 5: Solve for x
    x = 159,001.56/307.25
  6. Step 6: Final answer
    x = 517.50

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.