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Finding the Third Proportional to 358.14 and 759.39

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Solution

The third proportional to 358.14 and 759.39 is: 1,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.14 : 759.39 = 759.39 : x
  2. Step 2: Convert to fraction form
    358.14/759.39 = 759.39/x
  3. Step 3: Cross multiply
    358.14x = 759.39 × 759.39
  4. Step 4: Simplify right side
    358.14x = 576,672.92
  5. Step 5: Solve for x
    x = 576,672.92/358.14
  6. Step 6: Final answer
    x = 1,610.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.