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Finding the Third Proportional to 209.16 and 452.63

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Solution

The third proportional to 209.16 and 452.63 is: 979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.16 : 452.63 = 452.63 : x
  2. Step 2: Convert to fraction form
    209.16/452.63 = 452.63/x
  3. Step 3: Cross multiply
    209.16x = 452.63 × 452.63
  4. Step 4: Simplify right side
    209.16x = 204,869.39
  5. Step 5: Solve for x
    x = 204,869.39/209.16
  6. Step 6: Final answer
    x = 979.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.