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Finding the Third Proportional to 834.05 and 1,166.91

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Solution

The third proportional to 834.05 and 1,166.91 is: 1,632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.05 : 1,166.91 = 1,166.91 : x
  2. Step 2: Convert to fraction form
    834.05/1,166.91 = 1,166.91/x
  3. Step 3: Cross multiply
    834.05x = 1,166.91 × 1,166.91
  4. Step 4: Simplify right side
    834.05x = 1,361,670.20
  5. Step 5: Solve for x
    x = 1,361,670.20/834.05
  6. Step 6: Final answer
    x = 1,632.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.