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Finding the Third Proportional to 312.19 and 475.31

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Solution

The third proportional to 312.19 and 475.31 is: 723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.19 : 475.31 = 475.31 : x
  2. Step 2: Convert to fraction form
    312.19/475.31 = 475.31/x
  3. Step 3: Cross multiply
    312.19x = 475.31 × 475.31
  4. Step 4: Simplify right side
    312.19x = 225,921.97
  5. Step 5: Solve for x
    x = 225,921.97/312.19
  6. Step 6: Final answer
    x = 723.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.