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Finding the Third Proportional to 1,045.69 and 1,198.69

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Solution

The third proportional to 1,045.69 and 1,198.69 is: 1,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.69 : 1,198.69 = 1,198.69 : x
  2. Step 2: Convert to fraction form
    1,045.69/1,198.69 = 1,198.69/x
  3. Step 3: Cross multiply
    1,045.69x = 1,198.69 × 1,198.69
  4. Step 4: Simplify right side
    1,045.69x = 1,436,851.72
  5. Step 5: Solve for x
    x = 1,436,851.72/1,045.69
  6. Step 6: Final answer
    x = 1,374.07

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.