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Finding the Third Proportional to 551 and 1,205.50

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Solution

The third proportional to 551 and 1,205.50 is: 2,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    551 : 1,205.50 = 1,205.50 : x
  2. Step 2: Convert to fraction form
    551/1,205.50 = 1,205.50/x
  3. Step 3: Cross multiply
    551x = 1,205.50 × 1,205.50
  4. Step 4: Simplify right side
    551x = 1,453,230.25
  5. Step 5: Solve for x
    x = 1,453,230.25/551
  6. Step 6: Final answer
    x = 2,637.44

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Why These Related Problems?

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