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Finding the Third Proportional to 171.84 and 336.09

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Solution

The third proportional to 171.84 and 336.09 is: 657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.84 : 336.09 = 336.09 : x
  2. Step 2: Convert to fraction form
    171.84/336.09 = 336.09/x
  3. Step 3: Cross multiply
    171.84x = 336.09 × 336.09
  4. Step 4: Simplify right side
    171.84x = 112,959.01
  5. Step 5: Solve for x
    x = 112,959.01/171.84
  6. Step 6: Final answer
    x = 657.34

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.