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Finding the Third Proportional to 492.25 and 1,160.75

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Solution

The third proportional to 492.25 and 1,160.75 is: 2,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.25 : 1,160.75 = 1,160.75 : x
  2. Step 2: Convert to fraction form
    492.25/1,160.75 = 1,160.75/x
  3. Step 3: Cross multiply
    492.25x = 1,160.75 × 1,160.75
  4. Step 4: Simplify right side
    492.25x = 1,347,340.56
  5. Step 5: Solve for x
    x = 1,347,340.56/492.25
  6. Step 6: Final answer
    x = 2,737.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.