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Finding the Third Proportional to 127,593 and 298,021

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Solution

The third proportional to 127,593 and 298,021 is: 696,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,593 : 298,021 = 298,021 : x
  2. Step 2: Convert to fraction form
    127,593/298,021 = 298,021/x
  3. Step 3: Cross multiply
    127,593x = 298,021 × 298,021
  4. Step 4: Simplify right side
    127,593x = 88,816,516,441
  5. Step 5: Solve for x
    x = 88,816,516,441/127,593
  6. Step 6: Final answer
    x = 696,092.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.