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Finding the Third Proportional to 174,887.44 and 262,468.69

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Solution

The third proportional to 174,887.44 and 262,468.69 is: 393,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,887.44 : 262,468.69 = 262,468.69 : x
  2. Step 2: Convert to fraction form
    174,887.44/262,468.69 = 262,468.69/x
  3. Step 3: Cross multiply
    174,887.44x = 262,468.69 × 262,468.69
  4. Step 4: Simplify right side
    174,887.44x = 68,889,811,917.97
  5. Step 5: Solve for x
    x = 68,889,811,917.97/174,887.44
  6. Step 6: Final answer
    x = 393,909.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.