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Finding the Third Proportional to 346.97 and 759.19

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Solution

The third proportional to 346.97 and 759.19 is: 1,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.97 : 759.19 = 759.19 : x
  2. Step 2: Convert to fraction form
    346.97/759.19 = 759.19/x
  3. Step 3: Cross multiply
    346.97x = 759.19 × 759.19
  4. Step 4: Simplify right side
    346.97x = 576,365.66
  5. Step 5: Solve for x
    x = 576,365.66/346.97
  6. Step 6: Final answer
    x = 1,661.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.