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Finding the Third Proportional to 853.59 and 1,305.19

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Solution

The third proportional to 853.59 and 1,305.19 is: 1,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.59 : 1,305.19 = 1,305.19 : x
  2. Step 2: Convert to fraction form
    853.59/1,305.19 = 1,305.19/x
  3. Step 3: Cross multiply
    853.59x = 1,305.19 × 1,305.19
  4. Step 4: Simplify right side
    853.59x = 1,703,514.41
  5. Step 5: Solve for x
    x = 1,703,514.41/853.59
  6. Step 6: Final answer
    x = 1,995.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.