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Finding the Third Proportional to 194,831 and 419,758

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Solution

The third proportional to 194,831 and 419,758 is: 904,357.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,831 : 419,758 = 419,758 : x
  2. Step 2: Convert to fraction form
    194,831/419,758 = 419,758/x
  3. Step 3: Cross multiply
    194,831x = 419,758 × 419,758
  4. Step 4: Simplify right side
    194,831x = 176,196,778,564
  5. Step 5: Solve for x
    x = 176,196,778,564/194,831
  6. Step 6: Final answer
    x = 904,357.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.