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Finding the Third Proportional to 165.52 and 257.77

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Solution

The third proportional to 165.52 and 257.77 is: 401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.52 : 257.77 = 257.77 : x
  2. Step 2: Convert to fraction form
    165.52/257.77 = 257.77/x
  3. Step 3: Cross multiply
    165.52x = 257.77 × 257.77
  4. Step 4: Simplify right side
    165.52x = 66,443.12
  5. Step 5: Solve for x
    x = 66,443.12/165.52
  6. Step 6: Final answer
    x = 401.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.