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Finding the Third Proportional to 665.16 and 1,446.94

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Solution

The third proportional to 665.16 and 1,446.94 is: 3,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.16 : 1,446.94 = 1,446.94 : x
  2. Step 2: Convert to fraction form
    665.16/1,446.94 = 1,446.94/x
  3. Step 3: Cross multiply
    665.16x = 1,446.94 × 1,446.94
  4. Step 4: Simplify right side
    665.16x = 2,093,628.13
  5. Step 5: Solve for x
    x = 2,093,628.13/665.16
  6. Step 6: Final answer
    x = 3,147.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.