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Finding the Third Proportional to 165,081 and 262,600

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Solution

The third proportional to 165,081 and 262,600 is: 417,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,081 : 262,600 = 262,600 : x
  2. Step 2: Convert to fraction form
    165,081/262,600 = 262,600/x
  3. Step 3: Cross multiply
    165,081x = 262,600 × 262,600
  4. Step 4: Simplify right side
    165,081x = 68,958,760,000
  5. Step 5: Solve for x
    x = 68,958,760,000/165,081
  6. Step 6: Final answer
    x = 417,726.81

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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.