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Finding the Third Proportional to 194,147 and 415,281

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Solution

The third proportional to 194,147 and 415,281 is: 888,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,147 : 415,281 = 415,281 : x
  2. Step 2: Convert to fraction form
    194,147/415,281 = 415,281/x
  3. Step 3: Cross multiply
    194,147x = 415,281 × 415,281
  4. Step 4: Simplify right side
    194,147x = 172,458,308,961
  5. Step 5: Solve for x
    x = 172,458,308,961/194,147
  6. Step 6: Final answer
    x = 888,287.27

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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.