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Finding the Third Proportional to 174,890.81 and 262,473.75

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Solution

The third proportional to 174,890.81 and 262,473.75 is: 393,917.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,890.81 : 262,473.75 = 262,473.75 : x
  2. Step 2: Convert to fraction form
    174,890.81/262,473.75 = 262,473.75/x
  3. Step 3: Cross multiply
    174,890.81x = 262,473.75 × 262,473.75
  4. Step 4: Simplify right side
    174,890.81x = 68,892,469,439.06
  5. Step 5: Solve for x
    x = 68,892,469,439.06/174,890.81
  6. Step 6: Final answer
    x = 393,917.03

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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.