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Finding the Third Proportional to 165,078.75 and 262,596.75

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Solution

The third proportional to 165,078.75 and 262,596.75 is: 417,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,078.75 : 262,596.75 = 262,596.75 : x
  2. Step 2: Convert to fraction form
    165,078.75/262,596.75 = 262,596.75/x
  3. Step 3: Cross multiply
    165,078.75x = 262,596.75 × 262,596.75
  4. Step 4: Simplify right side
    165,078.75x = 68,957,053,110.56
  5. Step 5: Solve for x
    x = 68,957,053,110.56/165,078.75
  6. Step 6: Final answer
    x = 417,722.17

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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.