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Finding the Third Proportional to 863.25 and 1,160.25

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Solution

The third proportional to 863.25 and 1,160.25 is: 1,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.25 : 1,160.25 = 1,160.25 : x
  2. Step 2: Convert to fraction form
    863.25/1,160.25 = 1,160.25/x
  3. Step 3: Cross multiply
    863.25x = 1,160.25 × 1,160.25
  4. Step 4: Simplify right side
    863.25x = 1,346,180.06
  5. Step 5: Solve for x
    x = 1,346,180.06/863.25
  6. Step 6: Final answer
    x = 1,559.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.