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Finding the Third Proportional to 310.22 and 671.06

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Solution

The third proportional to 310.22 and 671.06 is: 1,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.22 : 671.06 = 671.06 : x
  2. Step 2: Convert to fraction form
    310.22/671.06 = 671.06/x
  3. Step 3: Cross multiply
    310.22x = 671.06 × 671.06
  4. Step 4: Simplify right side
    310.22x = 450,324.88
  5. Step 5: Solve for x
    x = 450,324.88/310.22
  6. Step 6: Final answer
    x = 1,451.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.