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Finding the Third Proportional to 313.50 and 671.25

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Solution

The third proportional to 313.50 and 671.25 is: 1,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.50 : 671.25 = 671.25 : x
  2. Step 2: Convert to fraction form
    313.50/671.25 = 671.25/x
  3. Step 3: Cross multiply
    313.50x = 671.25 × 671.25
  4. Step 4: Simplify right side
    313.50x = 450,576.56
  5. Step 5: Solve for x
    x = 450,576.56/313.50
  6. Step 6: Final answer
    x = 1,437.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.