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Finding the Third Proportional to 179,568 and 375,768.75

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Solution

The third proportional to 179,568 and 375,768.75 is: 786,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,568 : 375,768.75 = 375,768.75 : x
  2. Step 2: Convert to fraction form
    179,568/375,768.75 = 375,768.75/x
  3. Step 3: Cross multiply
    179,568x = 375,768.75 × 375,768.75
  4. Step 4: Simplify right side
    179,568x = 141,202,153,476.56
  5. Step 5: Solve for x
    x = 141,202,153,476.56/179,568
  6. Step 6: Final answer
    x = 786,343.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.