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Finding the Third Proportional to 165.97 and 253.44

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Solution

The third proportional to 165.97 and 253.44 is: 387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.97 : 253.44 = 253.44 : x
  2. Step 2: Convert to fraction form
    165.97/253.44 = 253.44/x
  3. Step 3: Cross multiply
    165.97x = 253.44 × 253.44
  4. Step 4: Simplify right side
    165.97x = 64,230.57
  5. Step 5: Solve for x
    x = 64,230.57/165.97
  6. Step 6: Final answer
    x = 387.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.