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Finding the Third Proportional to 745.25 and 1,181.81

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Solution

The third proportional to 745.25 and 1,181.81 is: 1,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.25 : 1,181.81 = 1,181.81 : x
  2. Step 2: Convert to fraction form
    745.25/1,181.81 = 1,181.81/x
  3. Step 3: Cross multiply
    745.25x = 1,181.81 × 1,181.81
  4. Step 4: Simplify right side
    745.25x = 1,396,680.79
  5. Step 5: Solve for x
    x = 1,396,680.79/745.25
  6. Step 6: Final answer
    x = 1,874.11

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.