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Finding the Third Proportional to 533.18 and 1,108.93

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Solution

The third proportional to 533.18 and 1,108.93 is: 2,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.18 : 1,108.93 = 1,108.93 : x
  2. Step 2: Convert to fraction form
    533.18/1,108.93 = 1,108.93/x
  3. Step 3: Cross multiply
    533.18x = 1,108.93 × 1,108.93
  4. Step 4: Simplify right side
    533.18x = 1,229,716.28
  5. Step 5: Solve for x
    x = 1,229,716.28/533.18
  6. Step 6: Final answer
    x = 2,306.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.