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Finding the Third Proportional to 194,121 and 415,233

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Solution

The third proportional to 194,121 and 415,233 is: 888,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,121 : 415,233 = 415,233 : x
  2. Step 2: Convert to fraction form
    194,121/415,233 = 415,233/x
  3. Step 3: Cross multiply
    194,121x = 415,233 × 415,233
  4. Step 4: Simplify right side
    194,121x = 172,418,444,289
  5. Step 5: Solve for x
    x = 172,418,444,289/194,121
  6. Step 6: Final answer
    x = 888,200.89

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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.