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Finding the Third Proportional to 668 and 1,120

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Solution

The third proportional to 668 and 1,120 is: 1,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    668 : 1,120 = 1,120 : x
  2. Step 2: Convert to fraction form
    668/1,120 = 1,120/x
  3. Step 3: Cross multiply
    668x = 1,120 × 1,120
  4. Step 4: Simplify right side
    668x = 1,254,400
  5. Step 5: Solve for x
    x = 1,254,400/668
  6. Step 6: Final answer
    x = 1,877.84

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.