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Finding the Third Proportional to 165.94 and 340.13

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Solution

The third proportional to 165.94 and 340.13 is: 697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.94 : 340.13 = 340.13 : x
  2. Step 2: Convert to fraction form
    165.94/340.13 = 340.13/x
  3. Step 3: Cross multiply
    165.94x = 340.13 × 340.13
  4. Step 4: Simplify right side
    165.94x = 115,685.02
  5. Step 5: Solve for x
    x = 115,685.02/165.94
  6. Step 6: Final answer
    x = 697.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.