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Finding the Third Proportional to 353.94 and 546.69

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Solution

The third proportional to 353.94 and 546.69 is: 844.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.94 : 546.69 = 546.69 : x
  2. Step 2: Convert to fraction form
    353.94/546.69 = 546.69/x
  3. Step 3: Cross multiply
    353.94x = 546.69 × 546.69
  4. Step 4: Simplify right side
    353.94x = 298,867.22
  5. Step 5: Solve for x
    x = 298,867.22/353.94
  6. Step 6: Final answer
    x = 844.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.