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Finding the Third Proportional to 165.84 and 230.06

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Solution

The third proportional to 165.84 and 230.06 is: 319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 230.06 = 230.06 : x
  2. Step 2: Convert to fraction form
    165.84/230.06 = 230.06/x
  3. Step 3: Cross multiply
    165.84x = 230.06 × 230.06
  4. Step 4: Simplify right side
    165.84x = 52,928.75
  5. Step 5: Solve for x
    x = 52,928.75/165.84
  6. Step 6: Final answer
    x = 319.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.