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Finding the Third Proportional to 369.56 and 551.81

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Solution

The third proportional to 369.56 and 551.81 is: 823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.56 : 551.81 = 551.81 : x
  2. Step 2: Convert to fraction form
    369.56/551.81 = 551.81/x
  3. Step 3: Cross multiply
    369.56x = 551.81 × 551.81
  4. Step 4: Simplify right side
    369.56x = 304,497.04
  5. Step 5: Solve for x
    x = 304,497.04/369.56
  6. Step 6: Final answer
    x = 823.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.