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Finding the Third Proportional to 194,434 and 299,942

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Solution

The third proportional to 194,434 and 299,942 is: 462,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,434 : 299,942 = 299,942 : x
  2. Step 2: Convert to fraction form
    194,434/299,942 = 299,942/x
  3. Step 3: Cross multiply
    194,434x = 299,942 × 299,942
  4. Step 4: Simplify right side
    194,434x = 89,965,203,364
  5. Step 5: Solve for x
    x = 89,965,203,364/194,434
  6. Step 6: Final answer
    x = 462,703.04

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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.