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Finding the Third Proportional to 176,216.50 and 263,555

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Solution

The third proportional to 176,216.50 and 263,555 is: 394,181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,216.50 : 263,555 = 263,555 : x
  2. Step 2: Convert to fraction form
    176,216.50/263,555 = 263,555/x
  3. Step 3: Cross multiply
    176,216.50x = 263,555 × 263,555
  4. Step 4: Simplify right side
    176,216.50x = 69,461,238,025
  5. Step 5: Solve for x
    x = 69,461,238,025/176,216.50
  6. Step 6: Final answer
    x = 394,181.24

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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.