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Finding the Third Proportional to 174,951.56 and 262,564.88

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Solution

The third proportional to 174,951.56 and 262,564.88 is: 394,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,951.56 : 262,564.88 = 262,564.88 : x
  2. Step 2: Convert to fraction form
    174,951.56/262,564.88 = 262,564.88/x
  3. Step 3: Cross multiply
    174,951.56x = 262,564.88 × 262,564.88
  4. Step 4: Simplify right side
    174,951.56x = 68,940,313,583.77
  5. Step 5: Solve for x
    x = 68,940,313,583.77/174,951.56
  6. Step 6: Final answer
    x = 394,053.72

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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.