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Finding the Third Proportional to 132.19 and 209.04

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Solution

The third proportional to 132.19 and 209.04 is: 330.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.19 : 209.04 = 209.04 : x
  2. Step 2: Convert to fraction form
    132.19/209.04 = 209.04/x
  3. Step 3: Cross multiply
    132.19x = 209.04 × 209.04
  4. Step 4: Simplify right side
    132.19x = 43,697.33
  5. Step 5: Solve for x
    x = 43,697.33/132.19
  6. Step 6: Final answer
    x = 330.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.