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Finding the Third Proportional to 260.14 and 386.25

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Solution

The third proportional to 260.14 and 386.25 is: 573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.14 : 386.25 = 386.25 : x
  2. Step 2: Convert to fraction form
    260.14/386.25 = 386.25/x
  3. Step 3: Cross multiply
    260.14x = 386.25 × 386.25
  4. Step 4: Simplify right side
    260.14x = 149,191.33
  5. Step 5: Solve for x
    x = 149,191.33/260.14
  6. Step 6: Final answer
    x = 573.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.