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Finding the Third Proportional to 278.63 and 611.25

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Solution

The third proportional to 278.63 and 611.25 is: 1,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.63 : 611.25 = 611.25 : x
  2. Step 2: Convert to fraction form
    278.63/611.25 = 611.25/x
  3. Step 3: Cross multiply
    278.63x = 611.25 × 611.25
  4. Step 4: Simplify right side
    278.63x = 373,626.56
  5. Step 5: Solve for x
    x = 373,626.56/278.63
  6. Step 6: Final answer
    x = 1,340.97

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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.