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Finding the Third Proportional to 260.25 and 390.75

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Solution

The third proportional to 260.25 and 390.75 is: 586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.25 : 390.75 = 390.75 : x
  2. Step 2: Convert to fraction form
    260.25/390.75 = 390.75/x
  3. Step 3: Cross multiply
    260.25x = 390.75 × 390.75
  4. Step 4: Simplify right side
    260.25x = 152,685.56
  5. Step 5: Solve for x
    x = 152,685.56/260.25
  6. Step 6: Final answer
    x = 586.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.