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Finding the Third Proportional to 227.50 and 410.75

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Solution

The third proportional to 227.50 and 410.75 is: 741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.50 : 410.75 = 410.75 : x
  2. Step 2: Convert to fraction form
    227.50/410.75 = 410.75/x
  3. Step 3: Cross multiply
    227.50x = 410.75 × 410.75
  4. Step 4: Simplify right side
    227.50x = 168,715.56
  5. Step 5: Solve for x
    x = 168,715.56/227.50
  6. Step 6: Final answer
    x = 741.61

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.