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Finding the Third Proportional to 194,357 and 299,836

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Solution

The third proportional to 194,357 and 299,836 is: 462,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,357 : 299,836 = 299,836 : x
  2. Step 2: Convert to fraction form
    194,357/299,836 = 299,836/x
  3. Step 3: Cross multiply
    194,357x = 299,836 × 299,836
  4. Step 4: Simplify right side
    194,357x = 89,901,626,896
  5. Step 5: Solve for x
    x = 89,901,626,896/194,357
  6. Step 6: Final answer
    x = 462,559.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.