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Finding the Third Proportional to 1,268.58 and 1,696.36

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Solution

The third proportional to 1,268.58 and 1,696.36 is: 2,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.58 : 1,696.36 = 1,696.36 : x
  2. Step 2: Convert to fraction form
    1,268.58/1,696.36 = 1,696.36/x
  3. Step 3: Cross multiply
    1,268.58x = 1,696.36 × 1,696.36
  4. Step 4: Simplify right side
    1,268.58x = 2,877,635.13
  5. Step 5: Solve for x
    x = 2,877,635.13/1,268.58
  6. Step 6: Final answer
    x = 2,268.39

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.