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Finding the Third Proportional to 176,053.50 and 263,405.25

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Solution

The third proportional to 176,053.50 and 263,405.25 is: 394,097.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,053.50 : 263,405.25 = 263,405.25 : x
  2. Step 2: Convert to fraction form
    176,053.50/263,405.25 = 263,405.25/x
  3. Step 3: Cross multiply
    176,053.50x = 263,405.25 × 263,405.25
  4. Step 4: Simplify right side
    176,053.50x = 69,382,325,727.56
  5. Step 5: Solve for x
    x = 69,382,325,727.56/176,053.50
  6. Step 6: Final answer
    x = 394,097.96

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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.