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Finding the Third Proportional to 138,769.31 and 298,951.31

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Solution

The third proportional to 138,769.31 and 298,951.31 is: 644,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,769.31 : 298,951.31 = 298,951.31 : x
  2. Step 2: Convert to fraction form
    138,769.31/298,951.31 = 298,951.31/x
  3. Step 3: Cross multiply
    138,769.31x = 298,951.31 × 298,951.31
  4. Step 4: Simplify right side
    138,769.31x = 89,371,887,245.47
  5. Step 5: Solve for x
    x = 89,371,887,245.47/138,769.31
  6. Step 6: Final answer
    x = 644,032.07

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