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Finding the Third Proportional to 165.64 and 245.37

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Solution

The third proportional to 165.64 and 245.37 is: 363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.64 : 245.37 = 245.37 : x
  2. Step 2: Convert to fraction form
    165.64/245.37 = 245.37/x
  3. Step 3: Cross multiply
    165.64x = 245.37 × 245.37
  4. Step 4: Simplify right side
    165.64x = 60,207.93
  5. Step 5: Solve for x
    x = 60,207.93/165.64
  6. Step 6: Final answer
    x = 363.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.