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Finding the Third Proportional to 252.49 and 551.97

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Solution

The third proportional to 252.49 and 551.97 is: 1,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.49 : 551.97 = 551.97 : x
  2. Step 2: Convert to fraction form
    252.49/551.97 = 551.97/x
  3. Step 3: Cross multiply
    252.49x = 551.97 × 551.97
  4. Step 4: Simplify right side
    252.49x = 304,671.66
  5. Step 5: Solve for x
    x = 304,671.66/252.49
  6. Step 6: Final answer
    x = 1,206.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.