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Finding the Third Proportional to 165,079.13 and 262,596.38

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Solution

The third proportional to 165,079.13 and 262,596.38 is: 417,720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,079.13 : 262,596.38 = 262,596.38 : x
  2. Step 2: Convert to fraction form
    165,079.13/262,596.38 = 262,596.38/x
  3. Step 3: Cross multiply
    165,079.13x = 262,596.38 × 262,596.38
  4. Step 4: Simplify right side
    165,079.13x = 68,956,856,163.14
  5. Step 5: Solve for x
    x = 68,956,856,163.14/165,079.13
  6. Step 6: Final answer
    x = 417,720.02

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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.