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Finding the Third Proportional to 140.44 and 330.84

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Solution

The third proportional to 140.44 and 330.84 is: 779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.44 : 330.84 = 330.84 : x
  2. Step 2: Convert to fraction form
    140.44/330.84 = 330.84/x
  3. Step 3: Cross multiply
    140.44x = 330.84 × 330.84
  4. Step 4: Simplify right side
    140.44x = 109,457.59
  5. Step 5: Solve for x
    x = 109,457.59/140.44
  6. Step 6: Final answer
    x = 779.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.