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Finding the Third Proportional to 745.25 and 1,181.63

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Solution

The third proportional to 745.25 and 1,181.63 is: 1,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.25 : 1,181.63 = 1,181.63 : x
  2. Step 2: Convert to fraction form
    745.25/1,181.63 = 1,181.63/x
  3. Step 3: Cross multiply
    745.25x = 1,181.63 × 1,181.63
  4. Step 4: Simplify right side
    745.25x = 1,396,237.64
  5. Step 5: Solve for x
    x = 1,396,237.64/745.25
  6. Step 6: Final answer
    x = 1,873.52

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Why These Related Problems?

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