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Finding the Third Proportional to 1,340.30 and 2,942.58

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Solution

The third proportional to 1,340.30 and 2,942.58 is: 6,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.30 : 2,942.58 = 2,942.58 : x
  2. Step 2: Convert to fraction form
    1,340.30/2,942.58 = 2,942.58/x
  3. Step 3: Cross multiply
    1,340.30x = 2,942.58 × 2,942.58
  4. Step 4: Simplify right side
    1,340.30x = 8,658,766.02
  5. Step 5: Solve for x
    x = 8,658,766.02/1,340.30
  6. Step 6: Final answer
    x = 6,460.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.