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Finding the Third Proportional to 753.19 and 1,198.19

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Solution

The third proportional to 753.19 and 1,198.19 is: 1,906.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.19 : 1,198.19 = 1,198.19 : x
  2. Step 2: Convert to fraction form
    753.19/1,198.19 = 1,198.19/x
  3. Step 3: Cross multiply
    753.19x = 1,198.19 × 1,198.19
  4. Step 4: Simplify right side
    753.19x = 1,435,653.29
  5. Step 5: Solve for x
    x = 1,435,653.29/753.19
  6. Step 6: Final answer
    x = 1,906.10

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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.