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Finding the Third Proportional to 194,206 and 415,397

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Solution

The third proportional to 194,206 and 415,397 is: 888,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,206 : 415,397 = 415,397 : x
  2. Step 2: Convert to fraction form
    194,206/415,397 = 415,397/x
  3. Step 3: Cross multiply
    194,206x = 415,397 × 415,397
  4. Step 4: Simplify right side
    194,206x = 172,554,667,609
  5. Step 5: Solve for x
    x = 172,554,667,609/194,206
  6. Step 6: Final answer
    x = 888,513.58

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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.