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Finding the Third Proportional to 176,215.50 and 263,553.75

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Solution

The third proportional to 176,215.50 and 263,553.75 is: 394,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,215.50 : 263,553.75 = 263,553.75 : x
  2. Step 2: Convert to fraction form
    176,215.50/263,553.75 = 263,553.75/x
  3. Step 3: Cross multiply
    176,215.50x = 263,553.75 × 263,553.75
  4. Step 4: Simplify right side
    176,215.50x = 69,460,579,139.06
  5. Step 5: Solve for x
    x = 69,460,579,139.06/176,215.50
  6. Step 6: Final answer
    x = 394,179.74

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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.