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Finding the Third Proportional to 209.46 and 325.27

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Solution

The third proportional to 209.46 and 325.27 is: 505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.46 : 325.27 = 325.27 : x
  2. Step 2: Convert to fraction form
    209.46/325.27 = 325.27/x
  3. Step 3: Cross multiply
    209.46x = 325.27 × 325.27
  4. Step 4: Simplify right side
    209.46x = 105,797.73
  5. Step 5: Solve for x
    x = 105,797.73/209.46
  6. Step 6: Final answer
    x = 505.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.