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Finding the Third Proportional to 165.38 and 345.84

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Solution

The third proportional to 165.38 and 345.84 is: 723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 345.84 = 345.84 : x
  2. Step 2: Convert to fraction form
    165.38/345.84 = 345.84/x
  3. Step 3: Cross multiply
    165.38x = 345.84 × 345.84
  4. Step 4: Simplify right side
    165.38x = 119,607.90
  5. Step 5: Solve for x
    x = 119,607.90/165.38
  6. Step 6: Final answer
    x = 723.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.