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Finding the Third Proportional to 834.19 and 1,100.81

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Solution

The third proportional to 834.19 and 1,100.81 is: 1,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.19 : 1,100.81 = 1,100.81 : x
  2. Step 2: Convert to fraction form
    834.19/1,100.81 = 1,100.81/x
  3. Step 3: Cross multiply
    834.19x = 1,100.81 × 1,100.81
  4. Step 4: Simplify right side
    834.19x = 1,211,788.16
  5. Step 5: Solve for x
    x = 1,211,788.16/834.19
  6. Step 6: Final answer
    x = 1,452.66

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.