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Finding the Third Proportional to 175,695.75 and 385,249.50

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Solution

The third proportional to 175,695.75 and 385,249.50 is: 844,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,695.75 : 385,249.50 = 385,249.50 : x
  2. Step 2: Convert to fraction form
    175,695.75/385,249.50 = 385,249.50/x
  3. Step 3: Cross multiply
    175,695.75x = 385,249.50 × 385,249.50
  4. Step 4: Simplify right side
    175,695.75x = 148,417,177,250.25
  5. Step 5: Solve for x
    x = 148,417,177,250.25/175,695.75
  6. Step 6: Final answer
    x = 844,739.71

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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.