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Finding the Third Proportional to 176,768.25 and 384,273.75

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Solution

The third proportional to 176,768.25 and 384,273.75 is: 835,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,768.25 : 384,273.75 = 384,273.75 : x
  2. Step 2: Convert to fraction form
    176,768.25/384,273.75 = 384,273.75/x
  3. Step 3: Cross multiply
    176,768.25x = 384,273.75 × 384,273.75
  4. Step 4: Simplify right side
    176,768.25x = 147,666,314,939.06
  5. Step 5: Solve for x
    x = 147,666,314,939.06/176,768.25
  6. Step 6: Final answer
    x = 835,366.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.