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Finding the Third Proportional to 193,176 and 419,595.75

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Solution

The third proportional to 193,176 and 419,595.75 is: 911,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,176 : 419,595.75 = 419,595.75 : x
  2. Step 2: Convert to fraction form
    193,176/419,595.75 = 419,595.75/x
  3. Step 3: Cross multiply
    193,176x = 419,595.75 × 419,595.75
  4. Step 4: Simplify right side
    193,176x = 176,060,593,418.06
  5. Step 5: Solve for x
    x = 176,060,593,418.06/193,176
  6. Step 6: Final answer
    x = 911,399.93

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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.