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Finding the Third Proportional to 194,039 and 294,339

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Solution

The third proportional to 194,039 and 294,339 is: 446,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,039 : 294,339 = 294,339 : x
  2. Step 2: Convert to fraction form
    194,039/294,339 = 294,339/x
  3. Step 3: Cross multiply
    194,039x = 294,339 × 294,339
  4. Step 4: Simplify right side
    194,039x = 86,635,446,921
  5. Step 5: Solve for x
    x = 86,635,446,921/194,039
  6. Step 6: Final answer
    x = 446,484.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.