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Finding the Third Proportional to 138,642.89 and 298,301.48

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Solution

The third proportional to 138,642.89 and 298,301.48 is: 641,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,642.89 : 298,301.48 = 298,301.48 : x
  2. Step 2: Convert to fraction form
    138,642.89/298,301.48 = 298,301.48/x
  3. Step 3: Cross multiply
    138,642.89x = 298,301.48 × 298,301.48
  4. Step 4: Simplify right side
    138,642.89x = 88,983,775,580.33
  5. Step 5: Solve for x
    x = 88,983,775,580.33/138,642.89
  6. Step 6: Final answer
    x = 641,819.97

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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.