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Finding the Third Proportional to 165,596.91 and 262,645.03

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Solution

The third proportional to 165,596.91 and 262,645.03 is: 416,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,596.91 : 262,645.03 = 262,645.03 : x
  2. Step 2: Convert to fraction form
    165,596.91/262,645.03 = 262,645.03/x
  3. Step 3: Cross multiply
    165,596.91x = 262,645.03 × 262,645.03
  4. Step 4: Simplify right side
    165,596.91x = 68,982,412,440.31
  5. Step 5: Solve for x
    x = 68,982,412,440.31/165,596.91
  6. Step 6: Final answer
    x = 416,568.24

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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.