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Finding the Third Proportional to 1,416.23 and 2,198.39

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Solution

The third proportional to 1,416.23 and 2,198.39 is: 3,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.23 : 2,198.39 = 2,198.39 : x
  2. Step 2: Convert to fraction form
    1,416.23/2,198.39 = 2,198.39/x
  3. Step 3: Cross multiply
    1,416.23x = 2,198.39 × 2,198.39
  4. Step 4: Simplify right side
    1,416.23x = 4,832,921.34
  5. Step 5: Solve for x
    x = 4,832,921.34/1,416.23
  6. Step 6: Final answer
    x = 3,412.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.