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Finding the Third Proportional to 213 and 452.63

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Solution

The third proportional to 213 and 452.63 is: 961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 452.63 = 452.63 : x
  2. Step 2: Convert to fraction form
    213/452.63 = 452.63/x
  3. Step 3: Cross multiply
    213x = 452.63 × 452.63
  4. Step 4: Simplify right side
    213x = 204,869.39
  5. Step 5: Solve for x
    x = 204,869.39/213
  6. Step 6: Final answer
    x = 961.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.