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Finding the Third Proportional to 165 and 428

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Solution

The third proportional to 165 and 428 is: 1,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 428 = 428 : x
  2. Step 2: Convert to fraction form
    165/428 = 428/x
  3. Step 3: Cross multiply
    165x = 428 × 428
  4. Step 4: Simplify right side
    165x = 183,184
  5. Step 5: Solve for x
    x = 183,184/165
  6. Step 6: Final answer
    x = 1,110.21

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.