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Finding the Third Proportional to 863.16 and 1,356.75

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Solution

The third proportional to 863.16 and 1,356.75 is: 2,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.16 : 1,356.75 = 1,356.75 : x
  2. Step 2: Convert to fraction form
    863.16/1,356.75 = 1,356.75/x
  3. Step 3: Cross multiply
    863.16x = 1,356.75 × 1,356.75
  4. Step 4: Simplify right side
    863.16x = 1,840,770.56
  5. Step 5: Solve for x
    x = 1,840,770.56/863.16
  6. Step 6: Final answer
    x = 2,132.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.