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Finding the Third Proportional to 194,119.88 and 415,227.38

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Solution

The third proportional to 194,119.88 and 415,227.38 is: 888,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,119.88 : 415,227.38 = 415,227.38 : x
  2. Step 2: Convert to fraction form
    194,119.88/415,227.38 = 415,227.38/x
  3. Step 3: Cross multiply
    194,119.88x = 415,227.38 × 415,227.38
  4. Step 4: Simplify right side
    194,119.88x = 172,413,772,949.39
  5. Step 5: Solve for x
    x = 172,413,772,949.39/194,119.88
  6. Step 6: Final answer
    x = 888,181.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.