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Finding the Third Proportional to 173,739.75 and 380,694.75

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Solution

The third proportional to 173,739.75 and 380,694.75 is: 834,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,739.75 : 380,694.75 = 380,694.75 : x
  2. Step 2: Convert to fraction form
    173,739.75/380,694.75 = 380,694.75/x
  3. Step 3: Cross multiply
    173,739.75x = 380,694.75 × 380,694.75
  4. Step 4: Simplify right side
    173,739.75x = 144,928,492,677.56
  5. Step 5: Solve for x
    x = 144,928,492,677.56/173,739.75
  6. Step 6: Final answer
    x = 834,170.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.