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Finding the Third Proportional to 278.44 and 611.30

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Solution

The third proportional to 278.44 and 611.30 is: 1,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.44 : 611.30 = 611.30 : x
  2. Step 2: Convert to fraction form
    278.44/611.30 = 611.30/x
  3. Step 3: Cross multiply
    278.44x = 611.30 × 611.30
  4. Step 4: Simplify right side
    278.44x = 373,683.87
  5. Step 5: Solve for x
    x = 373,683.87/278.44
  6. Step 6: Final answer
    x = 1,342.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.