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Finding the Third Proportional to 165,360 and 262,183.50

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Solution

The third proportional to 165,360 and 262,183.50 is: 415,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,360 : 262,183.50 = 262,183.50 : x
  2. Step 2: Convert to fraction form
    165,360/262,183.50 = 262,183.50/x
  3. Step 3: Cross multiply
    165,360x = 262,183.50 × 262,183.50
  4. Step 4: Simplify right side
    165,360x = 68,740,187,672.25
  5. Step 5: Solve for x
    x = 68,740,187,672.25/165,360
  6. Step 6: Final answer
    x = 415,700.22

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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.