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Finding the Third Proportional to 834.19 and 1,185.19

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Solution

The third proportional to 834.19 and 1,185.19 is: 1,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.19 : 1,185.19 = 1,185.19 : x
  2. Step 2: Convert to fraction form
    834.19/1,185.19 = 1,185.19/x
  3. Step 3: Cross multiply
    834.19x = 1,185.19 × 1,185.19
  4. Step 4: Simplify right side
    834.19x = 1,404,669.41
  5. Step 5: Solve for x
    x = 1,404,669.41/834.19
  6. Step 6: Final answer
    x = 1,683.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.