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Finding the Third Proportional to 176,225.63 and 263,568.94

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Solution

The third proportional to 176,225.63 and 263,568.94 is: 394,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,225.63 : 263,568.94 = 263,568.94 : x
  2. Step 2: Convert to fraction form
    176,225.63/263,568.94 = 263,568.94/x
  3. Step 3: Cross multiply
    176,225.63x = 263,568.94 × 263,568.94
  4. Step 4: Simplify right side
    176,225.63x = 69,468,584,814.88
  5. Step 5: Solve for x
    x = 69,468,584,814.88/176,225.63
  6. Step 6: Final answer
    x = 394,202.52

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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.