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Finding the Third Proportional to 210.97 and 453.44

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Solution

The third proportional to 210.97 and 453.44 is: 974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.97 : 453.44 = 453.44 : x
  2. Step 2: Convert to fraction form
    210.97/453.44 = 453.44/x
  3. Step 3: Cross multiply
    210.97x = 453.44 × 453.44
  4. Step 4: Simplify right side
    210.97x = 205,605.57
  5. Step 5: Solve for x
    x = 205,605.57/210.97
  6. Step 6: Final answer
    x = 974.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.