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Finding the Third Proportional to 193,227 and 415,024

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Solution

The third proportional to 193,227 and 415,024 is: 891,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,227 : 415,024 = 415,024 : x
  2. Step 2: Convert to fraction form
    193,227/415,024 = 415,024/x
  3. Step 3: Cross multiply
    193,227x = 415,024 × 415,024
  4. Step 4: Simplify right side
    193,227x = 172,244,920,576
  5. Step 5: Solve for x
    x = 172,244,920,576/193,227
  6. Step 6: Final answer
    x = 891,412.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.