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Finding the Third Proportional to 127,013 and 284,098

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Solution

The third proportional to 127,013 and 284,098 is: 635,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,013 : 284,098 = 284,098 : x
  2. Step 2: Convert to fraction form
    127,013/284,098 = 284,098/x
  3. Step 3: Cross multiply
    127,013x = 284,098 × 284,098
  4. Step 4: Simplify right side
    127,013x = 80,711,673,604
  5. Step 5: Solve for x
    x = 80,711,673,604/127,013
  6. Step 6: Final answer
    x = 635,459.94

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.