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Finding the Third Proportional to 165.50 and 291.50

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Solution

The third proportional to 165.50 and 291.50 is: 513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.50 : 291.50 = 291.50 : x
  2. Step 2: Convert to fraction form
    165.50/291.50 = 291.50/x
  3. Step 3: Cross multiply
    165.50x = 291.50 × 291.50
  4. Step 4: Simplify right side
    165.50x = 84,972.25
  5. Step 5: Solve for x
    x = 84,972.25/165.50
  6. Step 6: Final answer
    x = 513.43

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.