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Finding the Third Proportional to 244.69 and 454.22

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Solution

The third proportional to 244.69 and 454.22 is: 843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.69 : 454.22 = 454.22 : x
  2. Step 2: Convert to fraction form
    244.69/454.22 = 454.22/x
  3. Step 3: Cross multiply
    244.69x = 454.22 × 454.22
  4. Step 4: Simplify right side
    244.69x = 206,314.67
  5. Step 5: Solve for x
    x = 206,314.67/244.69
  6. Step 6: Final answer
    x = 843.18

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.