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Finding the Third Proportional to 332.13 and 682.06

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Solution

The third proportional to 332.13 and 682.06 is: 1,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.13 : 682.06 = 682.06 : x
  2. Step 2: Convert to fraction form
    332.13/682.06 = 682.06/x
  3. Step 3: Cross multiply
    332.13x = 682.06 × 682.06
  4. Step 4: Simplify right side
    332.13x = 465,209.25
  5. Step 5: Solve for x
    x = 465,209.25/332.13
  6. Step 6: Final answer
    x = 1,400.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.