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Finding the Third Proportional to 224.50 and 317.75

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Solution

The third proportional to 224.50 and 317.75 is: 449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.50 : 317.75 = 317.75 : x
  2. Step 2: Convert to fraction form
    224.50/317.75 = 317.75/x
  3. Step 3: Cross multiply
    224.50x = 317.75 × 317.75
  4. Step 4: Simplify right side
    224.50x = 100,965.06
  5. Step 5: Solve for x
    x = 100,965.06/224.50
  6. Step 6: Final answer
    x = 449.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.