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Finding the Third Proportional to 308.34 and 673.59

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Solution

The third proportional to 308.34 and 673.59 is: 1,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.34 : 673.59 = 673.59 : x
  2. Step 2: Convert to fraction form
    308.34/673.59 = 673.59/x
  3. Step 3: Cross multiply
    308.34x = 673.59 × 673.59
  4. Step 4: Simplify right side
    308.34x = 453,728.54
  5. Step 5: Solve for x
    x = 453,728.54/308.34
  6. Step 6: Final answer
    x = 1,471.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.