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Finding the Third Proportional to 132.84 and 205.22

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Solution

The third proportional to 132.84 and 205.22 is: 317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.84 : 205.22 = 205.22 : x
  2. Step 2: Convert to fraction form
    132.84/205.22 = 205.22/x
  3. Step 3: Cross multiply
    132.84x = 205.22 × 205.22
  4. Step 4: Simplify right side
    132.84x = 42,114.74
  5. Step 5: Solve for x
    x = 42,114.74/132.84
  6. Step 6: Final answer
    x = 317.02

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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.