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Finding the Third Proportional to 165.16 and 259.14

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Solution

The third proportional to 165.16 and 259.14 is: 406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.16 : 259.14 = 259.14 : x
  2. Step 2: Convert to fraction form
    165.16/259.14 = 259.14/x
  3. Step 3: Cross multiply
    165.16x = 259.14 × 259.14
  4. Step 4: Simplify right side
    165.16x = 67,151.84
  5. Step 5: Solve for x
    x = 67,151.84/165.16
  6. Step 6: Final answer
    x = 406.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.