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Finding the Third Proportional to 165.75 and 259.13

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Solution

The third proportional to 165.75 and 259.13 is: 405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.75 : 259.13 = 259.13 : x
  2. Step 2: Convert to fraction form
    165.75/259.13 = 259.13/x
  3. Step 3: Cross multiply
    165.75x = 259.13 × 259.13
  4. Step 4: Simplify right side
    165.75x = 67,145.77
  5. Step 5: Solve for x
    x = 67,145.77/165.75
  6. Step 6: Final answer
    x = 405.10

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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.