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Finding the Third Proportional to 177,753.75 and 380,418.75

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Solution

The third proportional to 177,753.75 and 380,418.75 is: 814,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,753.75 : 380,418.75 = 380,418.75 : x
  2. Step 2: Convert to fraction form
    177,753.75/380,418.75 = 380,418.75/x
  3. Step 3: Cross multiply
    177,753.75x = 380,418.75 × 380,418.75
  4. Step 4: Simplify right side
    177,753.75x = 144,718,425,351.56
  5. Step 5: Solve for x
    x = 144,718,425,351.56/177,753.75
  6. Step 6: Final answer
    x = 814,151.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.