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Finding the Third Proportional to 165,188 and 262,551

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Solution

The third proportional to 165,188 and 262,551 is: 417,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,188 : 262,551 = 262,551 : x
  2. Step 2: Convert to fraction form
    165,188/262,551 = 262,551/x
  3. Step 3: Cross multiply
    165,188x = 262,551 × 262,551
  4. Step 4: Simplify right side
    165,188x = 68,933,027,601
  5. Step 5: Solve for x
    x = 68,933,027,601/165,188
  6. Step 6: Final answer
    x = 417,300.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.